What is the Greatest Common Factor of 77974 and 77992?

Greatest common factor (GCF) of 77974 and 77992 is 2.

GCF(77974,77992) = 2

We will now calculate the prime factors of 77974 and 77992, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77974 and 77992.

How to find the GCF of 77974 and 77992?

We will first find the prime factorization of 77974 and 77992. After we will calculate the factors of 77974 and 77992 and find the biggest common factor number .

Step-1: Prime Factorization of 77974

Prime factors of 77974 are 2, 13, 2999. Prime factorization of 77974 in exponential form is:

77974 = 2¹ × 13¹ × 2999¹

Step-2: Prime Factorization of 77992

Prime factors of 77992 are 2, 9749. Prime factorization of 77992 in exponential form is:

77992 = 2³ × 9749¹

Step-3: Factors of 77974

List of positive integer factors of 77974 that divides 77974 without a remainder.

1, 2, 13, 26, 2999, 5998, 38987

Step-4: Factors of 77992

List of positive integer factors of 77992 that divides 77974 without a remainder.

1, 2, 4, 8, 9749, 19498, 38996

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77974 and 77992. The biggest common factor number is the GCF number.
So the greatest common factor 77974 and 77992 is 2.

Also check out the Least Common Multiple of 77974 and 77992