What is the Greatest Common Factor of 96656 and 96672?

Greatest common factor (GCF) of 96656 and 96672 is 16.

GCF(96656,96672) = 16

We will now calculate the prime factors of 96656 and 96672, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96656 and 96672.

How to find the GCF of 96656 and 96672?

We will first find the prime factorization of 96656 and 96672. After we will calculate the factors of 96656 and 96672 and find the biggest common factor number .

Step-1: Prime Factorization of 96656

Prime factors of 96656 are 2, 7, 863. Prime factorization of 96656 in exponential form is:

96656 = 2⁴ × 7¹ × 863¹

Step-2: Prime Factorization of 96672

Prime factors of 96672 are 2, 3, 19, 53. Prime factorization of 96672 in exponential form is:

96672 = 2⁵ × 3¹ × 19¹ × 53¹

Step-3: Factors of 96656

List of positive integer factors of 96656 that divides 96656 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 863, 1726, 3452, 6041, 6904, 12082, 13808, 24164, 48328

Step-4: Factors of 96672

List of positive integer factors of 96672 that divides 96656 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 32, 38, 48, 53, 57, 76, 96, 106, 114, 152, 159, 212, 228, 304, 318, 424, 456, 608, 636, 848, 912, 1007, 1272, 1696, 1824, 2014, 2544, 3021, 4028, 5088, 6042, 8056, 12084, 16112, 24168, 32224, 48336

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96656 and 96672. The biggest common factor number is the GCF number.
So the greatest common factor 96656 and 96672 is 16.

Also check out the Least Common Multiple of 96656 and 96672