What is the Greatest Common Factor of 48672 and 48676?

Greatest common factor (GCF) of 48672 and 48676 is 4.

GCF(48672,48676) = 4

We will now calculate the prime factors of 48672 and 48676, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48672 and 48676.

How to find the GCF of 48672 and 48676?

We will first find the prime factorization of 48672 and 48676. After we will calculate the factors of 48672 and 48676 and find the biggest common factor number .

Step-1: Prime Factorization of 48672

Prime factors of 48672 are 2, 3, 13. Prime factorization of 48672 in exponential form is:

48672 = 2⁵ × 3² × 13²

Step-2: Prime Factorization of 48676

Prime factors of 48676 are 2, 43, 283. Prime factorization of 48676 in exponential form is:

48676 = 2² × 43¹ × 283¹

Step-3: Factors of 48672

List of positive integer factors of 48672 that divides 48672 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 32, 36, 39, 48, 52, 72, 78, 96, 104, 117, 144, 156, 169, 208, 234, 288, 312, 338, 416, 468, 507, 624, 676, 936, 1014, 1248, 1352, 1521, 1872, 2028, 2704, 3042, 3744, 4056, 5408, 6084, 8112, 12168, 16224, 24336

Step-4: Factors of 48676

List of positive integer factors of 48676 that divides 48672 without a remainder.

1, 2, 4, 43, 86, 172, 283, 566, 1132, 12169, 24338

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48672 and 48676. The biggest common factor number is the GCF number.
So the greatest common factor 48672 and 48676 is 4.

Also check out the Least Common Multiple of 48672 and 48676