What is the Greatest Common Factor of 57295 and 57310?

Greatest common factor (GCF) of 57295 and 57310 is 5.

GCF(57295,57310) = 5

We will now calculate the prime factors of 57295 and 57310, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57295 and 57310.

How to find the GCF of 57295 and 57310?

We will first find the prime factorization of 57295 and 57310. After we will calculate the factors of 57295 and 57310 and find the biggest common factor number .

Step-1: Prime Factorization of 57295

Prime factors of 57295 are 5, 7, 1637. Prime factorization of 57295 in exponential form is:

57295 = 5¹ × 7¹ × 1637¹

Step-2: Prime Factorization of 57310

Prime factors of 57310 are 2, 5, 11, 521. Prime factorization of 57310 in exponential form is:

57310 = 2¹ × 5¹ × 11¹ × 521¹

Step-3: Factors of 57295

List of positive integer factors of 57295 that divides 57295 without a remainder.

1, 5, 7, 35, 1637, 8185, 11459

Step-4: Factors of 57310

List of positive integer factors of 57310 that divides 57295 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 521, 1042, 2605, 5210, 5731, 11462, 28655

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57295 and 57310. The biggest common factor number is the GCF number.
So the greatest common factor 57295 and 57310 is 5.

Also check out the Least Common Multiple of 57295 and 57310