What is the Greatest Common Factor of 71304 and 71322?

Greatest common factor (GCF) of 71304 and 71322 is 6.

GCF(71304,71322) = 6

We will now calculate the prime factors of 71304 and 71322, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71304 and 71322.

How to find the GCF of 71304 and 71322?

We will first find the prime factorization of 71304 and 71322. After we will calculate the factors of 71304 and 71322 and find the biggest common factor number .

Step-1: Prime Factorization of 71304

Prime factors of 71304 are 2, 3, 2971. Prime factorization of 71304 in exponential form is:

71304 = 2³ × 3¹ × 2971¹

Step-2: Prime Factorization of 71322

Prime factors of 71322 are 2, 3, 11887. Prime factorization of 71322 in exponential form is:

71322 = 2¹ × 3¹ × 11887¹

Step-3: Factors of 71304

List of positive integer factors of 71304 that divides 71304 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2971, 5942, 8913, 11884, 17826, 23768, 35652

Step-4: Factors of 71322

List of positive integer factors of 71322 that divides 71304 without a remainder.

1, 2, 3, 6, 11887, 23774, 35661

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71304 and 71322. The biggest common factor number is the GCF number.
So the greatest common factor 71304 and 71322 is 6.

Also check out the Least Common Multiple of 71304 and 71322