What is the Greatest Common Factor of 71376 and 71392?

Greatest common factor (GCF) of 71376 and 71392 is 16.

GCF(71376,71392) = 16

We will now calculate the prime factors of 71376 and 71392, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71376 and 71392.

How to find the GCF of 71376 and 71392?

We will first find the prime factorization of 71376 and 71392. After we will calculate the factors of 71376 and 71392 and find the biggest common factor number .

Step-1: Prime Factorization of 71376

Prime factors of 71376 are 2, 3, 1487. Prime factorization of 71376 in exponential form is:

71376 = 2⁴ × 3¹ × 1487¹

Step-2: Prime Factorization of 71392

Prime factors of 71392 are 2, 23, 97. Prime factorization of 71392 in exponential form is:

71392 = 2⁵ × 23¹ × 97¹

Step-3: Factors of 71376

List of positive integer factors of 71376 that divides 71376 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1487, 2974, 4461, 5948, 8922, 11896, 17844, 23792, 35688

Step-4: Factors of 71392

List of positive integer factors of 71392 that divides 71376 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 97, 184, 194, 368, 388, 736, 776, 1552, 2231, 3104, 4462, 8924, 17848, 35696

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71376 and 71392. The biggest common factor number is the GCF number.
So the greatest common factor 71376 and 71392 is 16.

Also check out the Least Common Multiple of 71376 and 71392