What is the Greatest Common Factor of 39920 and 39936?

Greatest common factor (GCF) of 39920 and 39936 is 16.

GCF(39920,39936) = 16

We will now calculate the prime factors of 39920 and 39936, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39920 and 39936.

How to find the GCF of 39920 and 39936?

We will first find the prime factorization of 39920 and 39936. After we will calculate the factors of 39920 and 39936 and find the biggest common factor number .

Step-1: Prime Factorization of 39920

Prime factors of 39920 are 2, 5, 499. Prime factorization of 39920 in exponential form is:

39920 = 2⁴ × 5¹ × 499¹

Step-2: 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-3: Factors of 39920

List of positive integer factors of 39920 that divides 39920 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 499, 998, 1996, 2495, 3992, 4990, 7984, 9980, 19960

Step-4: Factors of 39936

List of positive integer factors of 39936 that divides 39920 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39920 and 39936. The biggest common factor number is the GCF number.
So the greatest common factor 39920 and 39936 is 16.

Also check out the Least Common Multiple of 39920 and 39936