What is the Greatest Common Factor of 39936 and 39951?

Greatest common factor (GCF) of 39936 and 39951 is 3.

GCF(39936,39951) = 3

We will now calculate the prime factors of 39936 and 39951, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39936 and 39951.

How to find the GCF of 39936 and 39951?

We will first find the prime factorization of 39936 and 39951. After we will calculate the factors of 39936 and 39951 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 39951

Prime factors of 39951 are 3, 23, 193. Prime factorization of 39951 in exponential form is:

39951 = 3² × 23¹ × 193¹

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 39951

List of positive integer factors of 39951 that divides 39936 without a remainder.

1, 3, 9, 23, 69, 193, 207, 579, 1737, 4439, 13317

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39936 and 39951. The biggest common factor number is the GCF number.
So the greatest common factor 39936 and 39951 is 3.

Also check out the Least Common Multiple of 39936 and 39951