What is the Greatest Common Factor of 76972 and 76978?

Greatest common factor (GCF) of 76972 and 76978 is 2.

GCF(76972,76978) = 2

We will now calculate the prime factors of 76972 and 76978, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76972 and 76978.

How to find the GCF of 76972 and 76978?

We will first find the prime factorization of 76972 and 76978. After we will calculate the factors of 76972 and 76978 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 76978

Prime factors of 76978 are 2, 11, 3499. Prime factorization of 76978 in exponential form is:

76978 = 2¹ × 11¹ × 3499¹

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 76978

List of positive integer factors of 76978 that divides 76972 without a remainder.

1, 2, 11, 22, 3499, 6998, 38489

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76972 and 76978. The biggest common factor number is the GCF number.
So the greatest common factor 76972 and 76978 is 2.

Also check out the Least Common Multiple of 76972 and 76978