What is the Greatest Common Factor of 96653 and 96672?

Greatest common factor (GCF) of 96653 and 96672 is 19.

GCF(96653,96672) = 19

We will now calculate the prime factors of 96653 and 96672, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96653 and 96672.

How to find the GCF of 96653 and 96672?

We will first find the prime factorization of 96653 and 96672. After we will calculate the factors of 96653 and 96672 and find the biggest common factor number .

Step-1: Prime Factorization of 96653

Prime factors of 96653 are 19, 5087. Prime factorization of 96653 in exponential form is:

96653 = 19¹ × 5087¹

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 96653

List of positive integer factors of 96653 that divides 96653 without a remainder.

1, 19, 5087

Step-4: Factors of 96672

List of positive integer factors of 96672 that divides 96653 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 96653 and 96672. The biggest common factor number is the GCF number.
So the greatest common factor 96653 and 96672 is 19.

Also check out the Least Common Multiple of 96653 and 96672