What is the Greatest Common Factor of 96968 and 96972?

Greatest common factor (GCF) of 96968 and 96972 is 4.

GCF(96968,96972) = 4

We will now calculate the prime factors of 96968 and 96972, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96968 and 96972.

How to find the GCF of 96968 and 96972?

We will first find the prime factorization of 96968 and 96972. After we will calculate the factors of 96968 and 96972 and find the biggest common factor number .

Step-1: Prime Factorization of 96968

Prime factors of 96968 are 2, 17, 23, 31. Prime factorization of 96968 in exponential form is:

96968 = 2³ × 17¹ × 23¹ × 31¹

Step-2: 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-3: Factors of 96968

List of positive integer factors of 96968 that divides 96968 without a remainder.

1, 2, 4, 8, 17, 23, 31, 34, 46, 62, 68, 92, 124, 136, 184, 248, 391, 527, 713, 782, 1054, 1426, 1564, 2108, 2852, 3128, 4216, 5704, 12121, 24242, 48484

Step-4: Factors of 96972

List of positive integer factors of 96972 that divides 96968 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96968 and 96972. The biggest common factor number is the GCF number.
So the greatest common factor 96968 and 96972 is 4.

Also check out the Least Common Multiple of 96968 and 96972