What is the Greatest Common Factor of 76972 and 76991?

Greatest common factor (GCF) of 76972 and 76991 is 1.

GCF(76972,76991) = 1

We will now calculate the prime factors of 76972 and 76991, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76972 and 76991.

How to find the GCF of 76972 and 76991?

We will first find the prime factorization of 76972 and 76991. After we will calculate the factors of 76972 and 76991 and find the biggest common factor number .

Step-1: Prime Factorization of 76972

Prime factors of 76972 are 2, 7, 2749. Prime factorization of 76972 in exponential form is:

76972 = 2² × 7¹ × 2749¹

Step-2: Prime Factorization of 76991

Prime factors of 76991 are 76991. Prime factorization of 76991 in exponential form is:

76991 = 76991¹

Step-3: Factors of 76972

List of positive integer factors of 76972 that divides 76972 without a remainder.

1, 2, 4, 7, 14, 28, 2749, 5498, 10996, 19243, 38486

Step-4: Factors of 76991

List of positive integer factors of 76991 that divides 76972 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76972 and 76991. The biggest common factor number is the GCF number.
So the greatest common factor 76972 and 76991 is 1.

Also check out the Least Common Multiple of 76972 and 76991