What is the Greatest Common Factor of 96672 and 96683?

Greatest common factor (GCF) of 96672 and 96683 is 1.

GCF(96672,96683) = 1

We will now calculate the prime factors of 96672 and 96683, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96672 and 96683.

How to find the GCF of 96672 and 96683?

We will first find the prime factorization of 96672 and 96683. After we will calculate the factors of 96672 and 96683 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 96683

Prime factors of 96683 are 109, 887. Prime factorization of 96683 in exponential form is:

96683 = 109¹ × 887¹

Step-3: Factors of 96672

List of positive integer factors of 96672 that divides 96672 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

Step-4: Factors of 96683

List of positive integer factors of 96683 that divides 96672 without a remainder.

1, 109, 887

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96672 and 96683. The biggest common factor number is the GCF number.
So the greatest common factor 96672 and 96683 is 1.

Also check out the Least Common Multiple of 96672 and 96683