What is the Greatest Common Factor of 77974 and 77987?

Greatest common factor (GCF) of 77974 and 77987 is 13.

GCF(77974,77987) = 13

We will now calculate the prime factors of 77974 and 77987, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77974 and 77987.

How to find the GCF of 77974 and 77987?

We will first find the prime factorization of 77974 and 77987. After we will calculate the factors of 77974 and 77987 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 77987

Prime factors of 77987 are 7, 13, 857. Prime factorization of 77987 in exponential form is:

77987 = 7¹ × 13¹ × 857¹

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 77987

List of positive integer factors of 77987 that divides 77974 without a remainder.

1, 7, 13, 91, 857, 5999, 11141

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77974 and 77987. The biggest common factor number is the GCF number.
So the greatest common factor 77974 and 77987 is 13.

Also check out the Least Common Multiple of 77974 and 77987