What is the Greatest Common Factor of 96954 and 96972?

Greatest common factor (GCF) of 96954 and 96972 is 6.

GCF(96954,96972) = 6

We will now calculate the prime factors of 96954 and 96972, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96954 and 96972.

How to find the GCF of 96954 and 96972?

We will first find the prime factorization of 96954 and 96972. After we will calculate the factors of 96954 and 96972 and find the biggest common factor number .

Step-1: Prime Factorization of 96954

Prime factors of 96954 are 2, 3, 11, 13, 113. Prime factorization of 96954 in exponential form is:

96954 = 2¹ × 3¹ × 11¹ × 13¹ × 113¹

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 96954

List of positive integer factors of 96954 that divides 96954 without a remainder.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 113, 143, 226, 286, 339, 429, 678, 858, 1243, 1469, 2486, 2938, 3729, 4407, 7458, 8814, 16159, 32318, 48477

Step-4: Factors of 96972

List of positive integer factors of 96972 that divides 96954 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 96954 and 96972. The biggest common factor number is the GCF number.
So the greatest common factor 96954 and 96972 is 6.

Also check out the Least Common Multiple of 96954 and 96972