What is the Greatest Common Factor of 7972 and 7979?

Greatest common factor (GCF) of 7972 and 7979 is 1.

GCF(7972,7979) = 1

We will now calculate the prime factors of 7972 and 7979, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7972 and 7979.

How to find the GCF of 7972 and 7979?

We will first find the prime factorization of 7972 and 7979. After we will calculate the factors of 7972 and 7979 and find the biggest common factor number .

Step-1: Prime Factorization of 7972

Prime factors of 7972 are 2, 1993. Prime factorization of 7972 in exponential form is:

7972 = 2² × 1993¹

Step-2: Prime Factorization of 7979

Prime factors of 7979 are 79, 101. Prime factorization of 7979 in exponential form is:

7979 = 79¹ × 101¹

Step-3: Factors of 7972

List of positive integer factors of 7972 that divides 7972 without a remainder.

1, 2, 4, 1993, 3986

Step-4: Factors of 7979

List of positive integer factors of 7979 that divides 7972 without a remainder.

1, 79, 101

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7972 and 7979. The biggest common factor number is the GCF number.
So the greatest common factor 7972 and 7979 is 1.

Also check out the Least Common Multiple of 7972 and 7979