What is the Greatest Common Factor of 74889 and 74907?

Greatest common factor (GCF) of 74889 and 74907 is 9.

GCF(74889,74907) = 9

We will now calculate the prime factors of 74889 and 74907, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74889 and 74907.

How to find the GCF of 74889 and 74907?

We will first find the prime factorization of 74889 and 74907. After we will calculate the factors of 74889 and 74907 and find the biggest common factor number .

Step-1: Prime Factorization of 74889

Prime factors of 74889 are 3, 53, 157. Prime factorization of 74889 in exponential form is:

74889 = 3² × 53¹ × 157¹

Step-2: Prime Factorization of 74907

Prime factors of 74907 are 3, 7, 29, 41. Prime factorization of 74907 in exponential form is:

74907 = 3² × 7¹ × 29¹ × 41¹

Step-3: Factors of 74889

List of positive integer factors of 74889 that divides 74889 without a remainder.

1, 3, 9, 53, 157, 159, 471, 477, 1413, 8321, 24963

Step-4: Factors of 74907

List of positive integer factors of 74907 that divides 74889 without a remainder.

1, 3, 7, 9, 21, 29, 41, 63, 87, 123, 203, 261, 287, 369, 609, 861, 1189, 1827, 2583, 3567, 8323, 10701, 24969

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74889 and 74907. The biggest common factor number is the GCF number.
So the greatest common factor 74889 and 74907 is 9.

Also check out the Least Common Multiple of 74889 and 74907