What is the Greatest Common Factor of 77974 and 77989?

Greatest common factor (GCF) of 77974 and 77989 is 1.

GCF(77974,77989) = 1

We will now calculate the prime factors of 77974 and 77989, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77974 and 77989.

How to find the GCF of 77974 and 77989?

We will first find the prime factorization of 77974 and 77989. After we will calculate the factors of 77974 and 77989 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 77989

Prime factors of 77989 are 167, 467. Prime factorization of 77989 in exponential form is:

77989 = 167¹ × 467¹

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 77989

List of positive integer factors of 77989 that divides 77974 without a remainder.

1, 167, 467

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77974 and 77989. The biggest common factor number is the GCF number.
So the greatest common factor 77974 and 77989 is 1.

Also check out the Least Common Multiple of 77974 and 77989