What is the Greatest Common Factor of 96936 and 96948?

Greatest common factor (GCF) of 96936 and 96948 is 12.

GCF(96936,96948) = 12

We will now calculate the prime factors of 96936 and 96948, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96936 and 96948.

How to find the GCF of 96936 and 96948?

We will first find the prime factorization of 96936 and 96948. After we will calculate the factors of 96936 and 96948 and find the biggest common factor number .

Step-1: Prime Factorization of 96936

Prime factors of 96936 are 2, 3, 7, 577. Prime factorization of 96936 in exponential form is:

96936 = 2³ × 3¹ × 7¹ × 577¹

Step-2: Prime Factorization of 96948

Prime factors of 96948 are 2, 3, 2693. Prime factorization of 96948 in exponential form is:

96948 = 2² × 3² × 2693¹

Step-3: Factors of 96936

List of positive integer factors of 96936 that divides 96936 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 577, 1154, 1731, 2308, 3462, 4039, 4616, 6924, 8078, 12117, 13848, 16156, 24234, 32312, 48468

Step-4: Factors of 96948

List of positive integer factors of 96948 that divides 96936 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2693, 5386, 8079, 10772, 16158, 24237, 32316, 48474

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96936 and 96948. The biggest common factor number is the GCF number.
So the greatest common factor 96936 and 96948 is 12.

Also check out the Least Common Multiple of 96936 and 96948