What is the Greatest Common Factor of 48656 and 48664?

Greatest common factor (GCF) of 48656 and 48664 is 8.

GCF(48656,48664) = 8

We will now calculate the prime factors of 48656 and 48664, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48656 and 48664.

How to find the GCF of 48656 and 48664?

We will first find the prime factorization of 48656 and 48664. After we will calculate the factors of 48656 and 48664 and find the biggest common factor number .

Step-1: Prime Factorization of 48656

Prime factors of 48656 are 2, 3041. Prime factorization of 48656 in exponential form is:

48656 = 2⁴ × 3041¹

Step-2: Prime Factorization of 48664

Prime factors of 48664 are 2, 7, 11, 79. Prime factorization of 48664 in exponential form is:

48664 = 2³ × 7¹ × 11¹ × 79¹

Step-3: Factors of 48656

List of positive integer factors of 48656 that divides 48656 without a remainder.

1, 2, 4, 8, 16, 3041, 6082, 12164, 24328

Step-4: Factors of 48664

List of positive integer factors of 48664 that divides 48656 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 79, 88, 154, 158, 308, 316, 553, 616, 632, 869, 1106, 1738, 2212, 3476, 4424, 6083, 6952, 12166, 24332

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48656 and 48664. The biggest common factor number is the GCF number.
So the greatest common factor 48656 and 48664 is 8.

Also check out the Least Common Multiple of 48656 and 48664