What is the Greatest Common Factor of 60672 and 60687?

Greatest common factor (GCF) of 60672 and 60687 is 3.

GCF(60672,60687) = 3

We will now calculate the prime factors of 60672 and 60687, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60672 and 60687.

How to find the GCF of 60672 and 60687?

We will first find the prime factorization of 60672 and 60687. After we will calculate the factors of 60672 and 60687 and find the biggest common factor number .

Step-1: Prime Factorization of 60672

Prime factors of 60672 are 2, 3, 79. Prime factorization of 60672 in exponential form is:

60672 = 2⁸ × 3¹ × 79¹

Step-2: Prime Factorization of 60687

Prime factors of 60687 are 3, 11, 613. Prime factorization of 60687 in exponential form is:

60687 = 3² × 11¹ × 613¹

Step-3: Factors of 60672

List of positive integer factors of 60672 that divides 60672 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 79, 96, 128, 158, 192, 237, 256, 316, 384, 474, 632, 768, 948, 1264, 1896, 2528, 3792, 5056, 7584, 10112, 15168, 20224, 30336

Step-4: Factors of 60687

List of positive integer factors of 60687 that divides 60672 without a remainder.

1, 3, 9, 11, 33, 99, 613, 1839, 5517, 6743, 20229

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60672 and 60687. The biggest common factor number is the GCF number.
So the greatest common factor 60672 and 60687 is 3.

Also check out the Least Common Multiple of 60672 and 60687