What is the Greatest Common Factor of 74657 and 74667?

Greatest common factor (GCF) of 74657 and 74667 is 1.

GCF(74657,74667) = 1

We will now calculate the prime factors of 74657 and 74667, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74657 and 74667.

How to find the GCF of 74657 and 74667?

We will first find the prime factorization of 74657 and 74667. After we will calculate the factors of 74657 and 74667 and find the biggest common factor number .

Step-1: Prime Factorization of 74657

Prime factors of 74657 are 11, 617. Prime factorization of 74657 in exponential form is:

74657 = 11² × 617¹

Step-2: Prime Factorization of 74667

Prime factors of 74667 are 3, 24889. Prime factorization of 74667 in exponential form is:

74667 = 3¹ × 24889¹

Step-3: Factors of 74657

List of positive integer factors of 74657 that divides 74657 without a remainder.

1, 11, 121, 617, 6787

Step-4: Factors of 74667

List of positive integer factors of 74667 that divides 74657 without a remainder.

1, 3, 24889

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74657 and 74667. The biggest common factor number is the GCF number.
So the greatest common factor 74657 and 74667 is 1.

Also check out the Least Common Multiple of 74657 and 74667