What is the Greatest Common Factor of 96972 and 96984?

Greatest common factor (GCF) of 96972 and 96984 is 12.

GCF(96972,96984) = 12

We will now calculate the prime factors of 96972 and 96984, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96972 and 96984.

How to find the GCF of 96972 and 96984?

We will first find the prime factorization of 96972 and 96984. After we will calculate the factors of 96972 and 96984 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 96984

Prime factors of 96984 are 2, 3, 449. Prime factorization of 96984 in exponential form is:

96984 = 2³ × 3³ × 449¹

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 96984

List of positive integer factors of 96984 that divides 96972 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216, 449, 898, 1347, 1796, 2694, 3592, 4041, 5388, 8082, 10776, 12123, 16164, 24246, 32328, 48492

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96972 and 96984. The biggest common factor number is the GCF number.
So the greatest common factor 96972 and 96984 is 12.

Also check out the Least Common Multiple of 96972 and 96984