What is the Greatest Common Factor of 71920 and 71936?

Greatest common factor (GCF) of 71920 and 71936 is 16.

GCF(71920,71936) = 16

We will now calculate the prime factors of 71920 and 71936, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71920 and 71936.

How to find the GCF of 71920 and 71936?

We will first find the prime factorization of 71920 and 71936. After we will calculate the factors of 71920 and 71936 and find the biggest common factor number .

Step-1: Prime Factorization of 71920

Prime factors of 71920 are 2, 5, 29, 31. Prime factorization of 71920 in exponential form is:

71920 = 2⁴ × 5¹ × 29¹ × 31¹

Step-2: Prime Factorization of 71936

Prime factors of 71936 are 2, 281. Prime factorization of 71936 in exponential form is:

71936 = 2⁸ × 281¹

Step-3: Factors of 71920

List of positive integer factors of 71920 that divides 71920 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 29, 31, 40, 58, 62, 80, 116, 124, 145, 155, 232, 248, 290, 310, 464, 496, 580, 620, 899, 1160, 1240, 1798, 2320, 2480, 3596, 4495, 7192, 8990, 14384, 17980, 35960

Step-4: Factors of 71936

List of positive integer factors of 71936 that divides 71920 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 281, 562, 1124, 2248, 4496, 8992, 17984, 35968

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71920 and 71936. The biggest common factor number is the GCF number.
So the greatest common factor 71920 and 71936 is 16.

Also check out the Least Common Multiple of 71920 and 71936