What is the Greatest Common Factor of 96972 and 96978?

Greatest common factor (GCF) of 96972 and 96978 is 6.

GCF(96972,96978) = 6

We will now calculate the prime factors of 96972 and 96978, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96972 and 96978.

How to find the GCF of 96972 and 96978?

We will first find the prime factorization of 96972 and 96978. After we will calculate the factors of 96972 and 96978 and find the biggest common factor number .

Step-1: Prime Factorization of 96972

Prime factors of 96972 are 2, 3, 8081. Prime factorization of 96972 in exponential form is:

96972 = 2² × 3¹ × 8081¹

Step-2: Prime Factorization of 96978

Prime factors of 96978 are 2, 3, 7, 2309. Prime factorization of 96978 in exponential form is:

96978 = 2¹ × 3¹ × 7¹ × 2309¹

Step-3: Factors of 96972

List of positive integer factors of 96972 that divides 96972 without a remainder.

1, 2, 3, 4, 6, 12, 8081, 16162, 24243, 32324, 48486

Step-4: Factors of 96978

List of positive integer factors of 96978 that divides 96972 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 2309, 4618, 6927, 13854, 16163, 32326, 48489

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96972 and 96978. The biggest common factor number is the GCF number.
So the greatest common factor 96972 and 96978 is 6.

Also check out the Least Common Multiple of 96972 and 96978