What is the Greatest Common Factor of 59648 and 59656?

Greatest common factor (GCF) of 59648 and 59656 is 8.

GCF(59648,59656) = 8

We will now calculate the prime factors of 59648 and 59656, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59648 and 59656.

How to find the GCF of 59648 and 59656?

We will first find the prime factorization of 59648 and 59656. After we will calculate the factors of 59648 and 59656 and find the biggest common factor number .

Step-1: Prime Factorization of 59648

Prime factors of 59648 are 2, 233. Prime factorization of 59648 in exponential form is:

59648 = 2⁸ × 233¹

Step-2: Prime Factorization of 59656

Prime factors of 59656 are 2, 7457. Prime factorization of 59656 in exponential form is:

59656 = 2³ × 7457¹

Step-3: Factors of 59648

List of positive integer factors of 59648 that divides 59648 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 233, 256, 466, 932, 1864, 3728, 7456, 14912, 29824

Step-4: Factors of 59656

List of positive integer factors of 59656 that divides 59648 without a remainder.

1, 2, 4, 8, 7457, 14914, 29828

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59648 and 59656. The biggest common factor number is the GCF number.
So the greatest common factor 59648 and 59656 is 8.

Also check out the Least Common Multiple of 59648 and 59656