What is the Greatest Common Factor of 71378 and 71392?

Greatest common factor (GCF) of 71378 and 71392 is 2.

GCF(71378,71392) = 2

We will now calculate the prime factors of 71378 and 71392, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71378 and 71392.

How to find the GCF of 71378 and 71392?

We will first find the prime factorization of 71378 and 71392. After we will calculate the factors of 71378 and 71392 and find the biggest common factor number .

Step-1: Prime Factorization of 71378

Prime factors of 71378 are 2, 89, 401. Prime factorization of 71378 in exponential form is:

71378 = 2¹ × 89¹ × 401¹

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 71378

List of positive integer factors of 71378 that divides 71378 without a remainder.

1, 2, 89, 178, 401, 802, 35689

Step-4: Factors of 71392

List of positive integer factors of 71392 that divides 71378 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 71378 and 71392. The biggest common factor number is the GCF number.
So the greatest common factor 71378 and 71392 is 2.

Also check out the Least Common Multiple of 71378 and 71392