What is the Greatest Common Factor of 77674 and 77692?

Greatest common factor (GCF) of 77674 and 77692 is 2.

GCF(77674,77692) = 2

We will now calculate the prime factors of 77674 and 77692, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77674 and 77692.

How to find the GCF of 77674 and 77692?

We will first find the prime factorization of 77674 and 77692. After we will calculate the factors of 77674 and 77692 and find the biggest common factor number .

Step-1: Prime Factorization of 77674

Prime factors of 77674 are 2, 71, 547. Prime factorization of 77674 in exponential form is:

77674 = 2¹ × 71¹ × 547¹

Step-2: Prime Factorization of 77692

Prime factors of 77692 are 2, 19423. Prime factorization of 77692 in exponential form is:

77692 = 2² × 19423¹

Step-3: Factors of 77674

List of positive integer factors of 77674 that divides 77674 without a remainder.

1, 2, 71, 142, 547, 1094, 38837

Step-4: Factors of 77692

List of positive integer factors of 77692 that divides 77674 without a remainder.

1, 2, 4, 19423, 38846

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77674 and 77692. The biggest common factor number is the GCF number.
So the greatest common factor 77674 and 77692 is 2.

Also check out the Least Common Multiple of 77674 and 77692