What is the Greatest Common Factor of 42672 and 42687?

Greatest common factor (GCF) of 42672 and 42687 is 3.

GCF(42672,42687) = 3

We will now calculate the prime factors of 42672 and 42687, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42672 and 42687.

How to find the GCF of 42672 and 42687?

We will first find the prime factorization of 42672 and 42687. After we will calculate the factors of 42672 and 42687 and find the biggest common factor number .

Step-1: Prime Factorization of 42672

Prime factors of 42672 are 2, 3, 7, 127. Prime factorization of 42672 in exponential form is:

42672 = 2⁴ × 3¹ × 7¹ × 127¹

Step-2: Prime Factorization of 42687

Prime factors of 42687 are 3, 17, 31. Prime factorization of 42687 in exponential form is:

42687 = 3⁴ × 17¹ × 31¹

Step-3: Factors of 42672

List of positive integer factors of 42672 that divides 42672 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 127, 168, 254, 336, 381, 508, 762, 889, 1016, 1524, 1778, 2032, 2667, 3048, 3556, 5334, 6096, 7112, 10668, 14224, 21336

Step-4: Factors of 42687

List of positive integer factors of 42687 that divides 42672 without a remainder.

1, 3, 9, 17, 27, 31, 51, 81, 93, 153, 279, 459, 527, 837, 1377, 1581, 2511, 4743, 14229

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42672 and 42687. The biggest common factor number is the GCF number.
So the greatest common factor 42672 and 42687 is 3.

Also check out the Least Common Multiple of 42672 and 42687