What is the Greatest Common Factor of 74891 and 74908?

Greatest common factor (GCF) of 74891 and 74908 is 1.

GCF(74891,74908) = 1

We will now calculate the prime factors of 74891 and 74908, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74891 and 74908.

How to find the GCF of 74891 and 74908?

We will first find the prime factorization of 74891 and 74908. After we will calculate the factors of 74891 and 74908 and find the biggest common factor number .

Step-1: Prime Factorization of 74891

Prime factors of 74891 are 74891. Prime factorization of 74891 in exponential form is:

74891 = 74891¹

Step-2: Prime Factorization of 74908

Prime factors of 74908 are 2, 61, 307. Prime factorization of 74908 in exponential form is:

74908 = 2² × 61¹ × 307¹

Step-3: Factors of 74891

List of positive integer factors of 74891 that divides 74891 without a remainder.

Step-4: Factors of 74908

List of positive integer factors of 74908 that divides 74891 without a remainder.

1, 2, 4, 61, 122, 244, 307, 614, 1228, 18727, 37454

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74891 and 74908. The biggest common factor number is the GCF number.
So the greatest common factor 74891 and 74908 is 1.

Also check out the Least Common Multiple of 74891 and 74908