What is the Greatest Common Factor of 71392 and 71406?

Greatest common factor (GCF) of 71392 and 71406 is 2.

GCF(71392,71406) = 2

We will now calculate the prime factors of 71392 and 71406, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71392 and 71406.

How to find the GCF of 71392 and 71406?

We will first find the prime factorization of 71392 and 71406. After we will calculate the factors of 71392 and 71406 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 71406

Prime factors of 71406 are 2, 3, 3967. Prime factorization of 71406 in exponential form is:

71406 = 2¹ × 3² × 3967¹

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 71406

List of positive integer factors of 71406 that divides 71392 without a remainder.

1, 2, 3, 6, 9, 18, 3967, 7934, 11901, 23802, 35703

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71392 and 71406. The biggest common factor number is the GCF number.
So the greatest common factor 71392 and 71406 is 2.

Also check out the Least Common Multiple of 71392 and 71406