Solution: The GCF of 90 and 141 is 3MethodsHow to find the GCF of 90 and 141 using Prime FactorizationOne way to find the GCF of 90 and 141 is to compare the prime factorization of each number. To find the prime factorization, you can follow the instructions for each number here:What are the Factors of 90?What are the Factors of 141?Here is the prime factorization of 90:21×32×512^1 × 3^2 × 5^121×32×51And this is the prime factorization of 141:31×4713^1 × 47^131×471When you compare the prime factorization of these two numbers, you can see that there are matching prime factors. You can now find the Greatest Common Factor of 90 and 141 by multiplying all the matching prime factors to get a GCF of 90 and 141 as 9:Thus, the GCF of 90 and 141 is: 9How to Find the GCF of 90 and 141 by Listing All Common FactorsThe first step to this method of finding the Greatest Common Factor of 90 and 141 is to find and list all the factors of each number. Again, you can see how this is done by looking at the “Factors of” articles that are linked to above.Let’s take a look at the factors for each of these numbers, 90 and 141:Factors of 90: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90Factors of 141: 1, 3, 47, 141When you compare the two lists of factors, you can see that the common factor(s) are 1, 3. Since 3 is the largest of these common factors, the GCF of 90 and 141 would be 3.Find the GCF of Other Number PairsWant more practice? Try some of these other GCF problems:What is the GCF of 150 and 131?What is the GCF of 113 and 19?What is the GCF of 130 and 101?What is the GCF of 112 and 142?What is the GCF of 128 and 76?