What is the Greatest Common Factor of 42656 and 42672?

Greatest common factor (GCF) of 42656 and 42672 is 16.

GCF(42656,42672) = 16

We will now calculate the prime factors of 42656 and 42672, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42656 and 42672.

How to find the GCF of 42656 and 42672?

We will first find the prime factorization of 42656 and 42672. After we will calculate the factors of 42656 and 42672 and find the biggest common factor number .

Step-1: Prime Factorization of 42656

Prime factors of 42656 are 2, 31, 43. Prime factorization of 42656 in exponential form is:

42656 = 2⁵ × 31¹ × 43¹

Step-2: 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-3: Factors of 42656

List of positive integer factors of 42656 that divides 42656 without a remainder.

1, 2, 4, 8, 16, 31, 32, 43, 62, 86, 124, 172, 248, 344, 496, 688, 992, 1333, 1376, 2666, 5332, 10664, 21328

Step-4: Factors of 42672

List of positive integer factors of 42672 that divides 42656 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42656 and 42672. The biggest common factor number is the GCF number.
So the greatest common factor 42656 and 42672 is 16.

Also check out the Least Common Multiple of 42656 and 42672