What is the Greatest Common Factor of 74657 and 74662?

Greatest common factor (GCF) of 74657 and 74662 is 1.

GCF(74657,74662) = 1

We will now calculate the prime factors of 74657 and 74662, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74657 and 74662.

How to find the GCF of 74657 and 74662?

We will first find the prime factorization of 74657 and 74662. After we will calculate the factors of 74657 and 74662 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 74662

Prime factors of 74662 are 2, 7, 5333. Prime factorization of 74662 in exponential form is:

74662 = 2¹ × 7¹ × 5333¹

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 74662

List of positive integer factors of 74662 that divides 74657 without a remainder.

1, 2, 7, 14, 5333, 10666, 37331

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74657 and 74662. The biggest common factor number is the GCF number.
So the greatest common factor 74657 and 74662 is 1.

Also check out the Least Common Multiple of 74657 and 74662