What is the Greatest Common Factor of 74875 and 74889?

Greatest common factor (GCF) of 74875 and 74889 is 1.

GCF(74875,74889) = 1

We will now calculate the prime factors of 74875 and 74889, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74875 and 74889.

How to find the GCF of 74875 and 74889?

We will first find the prime factorization of 74875 and 74889. After we will calculate the factors of 74875 and 74889 and find the biggest common factor number .

Step-1: Prime Factorization of 74875

Prime factors of 74875 are 5, 599. Prime factorization of 74875 in exponential form is:

74875 = 5³ × 599¹

Step-2: 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-3: Factors of 74875

List of positive integer factors of 74875 that divides 74875 without a remainder.

1, 5, 25, 125, 599, 2995, 14975

Step-4: Factors of 74889

List of positive integer factors of 74889 that divides 74875 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74875 and 74889. The biggest common factor number is the GCF number.
So the greatest common factor 74875 and 74889 is 1.

Also check out the Least Common Multiple of 74875 and 74889