What is the Greatest Common Factor of 39936 and 39948?

Greatest common factor (GCF) of 39936 and 39948 is 12.

GCF(39936,39948) = 12

We will now calculate the prime factors of 39936 and 39948, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39936 and 39948.

How to find the GCF of 39936 and 39948?

We will first find the prime factorization of 39936 and 39948. After we will calculate the factors of 39936 and 39948 and find the biggest common factor number .

Step-1: Prime Factorization of 39936

Prime factors of 39936 are 2, 3, 13. Prime factorization of 39936 in exponential form is:

39936 = 2¹⁰ × 3¹ × 13¹

Step-2: Prime Factorization of 39948

Prime factors of 39948 are 2, 3, 3329. Prime factorization of 39948 in exponential form is:

39948 = 2² × 3¹ × 3329¹

Step-3: Factors of 39936

List of positive integer factors of 39936 that divides 39936 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 64, 78, 96, 104, 128, 156, 192, 208, 256, 312, 384, 416, 512, 624, 768, 832, 1024, 1248, 1536, 1664, 2496, 3072, 3328, 4992, 6656, 9984, 13312, 19968

Step-4: Factors of 39948

List of positive integer factors of 39948 that divides 39936 without a remainder.

1, 2, 3, 4, 6, 12, 3329, 6658, 9987, 13316, 19974

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39936 and 39948. The biggest common factor number is the GCF number.
So the greatest common factor 39936 and 39948 is 12.

Also check out the Least Common Multiple of 39936 and 39948