What is the Greatest Common Factor of 74889 and 74897?

Greatest common factor (GCF) of 74889 and 74897 is 1.

GCF(74889,74897) = 1

We will now calculate the prime factors of 74889 and 74897, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74889 and 74897.

How to find the GCF of 74889 and 74897?

We will first find the prime factorization of 74889 and 74897. After we will calculate the factors of 74889 and 74897 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 74897

Prime factors of 74897 are 74897. Prime factorization of 74897 in exponential form is:

74897 = 74897¹

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 74897

List of positive integer factors of 74897 that divides 74889 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74889 and 74897. The biggest common factor number is the GCF number.
So the greatest common factor 74889 and 74897 is 1.

Also check out the Least Common Multiple of 74889 and 74897