What is the Greatest Common Factor of 71310 and 71322?

Greatest common factor (GCF) of 71310 and 71322 is 6.

GCF(71310,71322) = 6

We will now calculate the prime factors of 71310 and 71322, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71310 and 71322.

How to find the GCF of 71310 and 71322?

We will first find the prime factorization of 71310 and 71322. After we will calculate the factors of 71310 and 71322 and find the biggest common factor number .

Step-1: Prime Factorization of 71310

Prime factors of 71310 are 2, 3, 5, 2377. Prime factorization of 71310 in exponential form is:

71310 = 2¹ × 3¹ × 5¹ × 2377¹

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 71310

List of positive integer factors of 71310 that divides 71310 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2377, 4754, 7131, 11885, 14262, 23770, 35655

Step-4: Factors of 71322

List of positive integer factors of 71322 that divides 71310 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71310 and 71322. The biggest common factor number is the GCF number.
So the greatest common factor 71310 and 71322 is 6.

Also check out the Least Common Multiple of 71310 and 71322