What is the Greatest Common Factor of 39921 and 39936?

Greatest common factor (GCF) of 39921 and 39936 is 3.

GCF(39921,39936) = 3

We will now calculate the prime factors of 39921 and 39936, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39921 and 39936.

How to find the GCF of 39921 and 39936?

We will first find the prime factorization of 39921 and 39936. After we will calculate the factors of 39921 and 39936 and find the biggest common factor number .

Step-1: Prime Factorization of 39921

Prime factors of 39921 are 3, 7, 1901. Prime factorization of 39921 in exponential form is:

39921 = 3¹ × 7¹ × 1901¹

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 39921

List of positive integer factors of 39921 that divides 39921 without a remainder.

1, 3, 7, 21, 1901, 5703, 13307

Step-4: Factors of 39936

List of positive integer factors of 39936 that divides 39921 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 39921 and 39936. The biggest common factor number is the GCF number.
So the greatest common factor 39921 and 39936 is 3.

Also check out the Least Common Multiple of 39921 and 39936