What is the Greatest Common Factor of 42648 and 42656?

Greatest common factor (GCF) of 42648 and 42656 is 8.

GCF(42648,42656) = 8

We will now calculate the prime factors of 42648 and 42656, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42648 and 42656.

How to find the GCF of 42648 and 42656?

We will first find the prime factorization of 42648 and 42656. After we will calculate the factors of 42648 and 42656 and find the biggest common factor number .

Step-1: Prime Factorization of 42648

Prime factors of 42648 are 2, 3, 1777. Prime factorization of 42648 in exponential form is:

42648 = 2³ × 3¹ × 1777¹

Step-2: 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-3: Factors of 42648

List of positive integer factors of 42648 that divides 42648 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1777, 3554, 5331, 7108, 10662, 14216, 21324

Step-4: Factors of 42656

List of positive integer factors of 42656 that divides 42648 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42648 and 42656. The biggest common factor number is the GCF number.
So the greatest common factor 42648 and 42656 is 8.

Also check out the Least Common Multiple of 42648 and 42656