What is the Greatest Common Factor of 71920 and 71938?

Greatest common factor (GCF) of 71920 and 71938 is 2.

GCF(71920,71938) = 2

We will now calculate the prime factors of 71920 and 71938, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71920 and 71938.

How to find the GCF of 71920 and 71938?

We will first find the prime factorization of 71920 and 71938. After we will calculate the factors of 71920 and 71938 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 71938

Prime factors of 71938 are 2, 35969. Prime factorization of 71938 in exponential form is:

71938 = 2¹ × 35969¹

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 71938

List of positive integer factors of 71938 that divides 71920 without a remainder.

1, 2, 35969

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71920 and 71938. The biggest common factor number is the GCF number.
So the greatest common factor 71920 and 71938 is 2.

Also check out the Least Common Multiple of 71920 and 71938