What is the Greatest Common Factor of 96984 and 96996?

Greatest common factor (GCF) of 96984 and 96996 is 12.

GCF(96984,96996) = 12

We will now calculate the prime factors of 96984 and 96996, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96984 and 96996.

How to find the GCF of 96984 and 96996?

We will first find the prime factorization of 96984 and 96996. After we will calculate the factors of 96984 and 96996 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 96996

Prime factors of 96996 are 2, 3, 59, 137. Prime factorization of 96996 in exponential form is:

96996 = 2² × 3¹ × 59¹ × 137¹

Step-3: Factors of 96984

List of positive integer factors of 96984 that divides 96984 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

Step-4: Factors of 96996

List of positive integer factors of 96996 that divides 96984 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 137, 177, 236, 274, 354, 411, 548, 708, 822, 1644, 8083, 16166, 24249, 32332, 48498

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96984 and 96996. The biggest common factor number is the GCF number.
So the greatest common factor 96984 and 96996 is 12.

Also check out the Least Common Multiple of 96984 and 96996