What is the Greatest Common Factor of 71392 and 71404?

Greatest common factor (GCF) of 71392 and 71404 is 4.

GCF(71392,71404) = 4

We will now calculate the prime factors of 71392 and 71404, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71392 and 71404.

How to find the GCF of 71392 and 71404?

We will first find the prime factorization of 71392 and 71404. After we will calculate the factors of 71392 and 71404 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 71404

Prime factors of 71404 are 2, 17851. Prime factorization of 71404 in exponential form is:

71404 = 2² × 17851¹

Step-3: Factors of 71392

List of positive integer factors of 71392 that divides 71392 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

Step-4: Factors of 71404

List of positive integer factors of 71404 that divides 71392 without a remainder.

1, 2, 4, 17851, 35702

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71392 and 71404. The biggest common factor number is the GCF number.
So the greatest common factor 71392 and 71404 is 4.

Also check out the Least Common Multiple of 71392 and 71404