What is the greatest common factor of 45 and 76?
One way to determine the greatest common factor is to find all the factors of the numbers and compare them.The factors of 45 are 1, 3, 5, 9, 15, and 45.The factors of 76 are 1, 2, 4, 19, 38, and 76.The common factors are a single 1. Therefore, the greatest common factor is 1, which means the numbers are relatively prime.The greatest common factor can also be calculated by identifying the common prime factors and multiplying them together.The prime factors of 45 are 3, 3, and 5.The prime factors of 76 are 2, 2, and 19.There are no prime factors in common, so the numbers are relatively prime, which means the greatest common factor is 1.The GCF of 45 and 76 is 1. 45 and 76 have no factors in common aside from 1. However, this is unhelpful for simplification.