What is the Greatest Common Factor of 71295 and 71310?

Greatest common factor (GCF) of 71295 and 71310 is 15.

GCF(71295,71310) = 15

We will now calculate the prime factors of 71295 and 71310, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71295 and 71310.

How to find the GCF of 71295 and 71310?

We will first find the prime factorization of 71295 and 71310. After we will calculate the factors of 71295 and 71310 and find the biggest common factor number .

Step-1: Prime Factorization of 71295

Prime factors of 71295 are 3, 5, 7, 97. Prime factorization of 71295 in exponential form is:

71295 = 3¹ × 5¹ × 7² × 97¹

Step-2: 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-3: Factors of 71295

List of positive integer factors of 71295 that divides 71295 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 97, 105, 147, 245, 291, 485, 679, 735, 1455, 2037, 3395, 4753, 10185, 14259, 23765

Step-4: Factors of 71310

List of positive integer factors of 71310 that divides 71295 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71295 and 71310. The biggest common factor number is the GCF number.
So the greatest common factor 71295 and 71310 is 15.

Also check out the Least Common Multiple of 71295 and 71310