What is the Greatest Common Factor of 57290 and 57310?

Greatest common factor (GCF) of 57290 and 57310 is 10.

GCF(57290,57310) = 10

We will now calculate the prime factors of 57290 and 57310, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57290 and 57310.

How to find the GCF of 57290 and 57310?

We will first find the prime factorization of 57290 and 57310. After we will calculate the factors of 57290 and 57310 and find the biggest common factor number .

Step-1: Prime Factorization of 57290

Prime factors of 57290 are 2, 5, 17, 337. Prime factorization of 57290 in exponential form is:

57290 = 2¹ × 5¹ × 17¹ × 337¹

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 57290

List of positive integer factors of 57290 that divides 57290 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170, 337, 674, 1685, 3370, 5729, 11458, 28645

Step-4: Factors of 57310

List of positive integer factors of 57310 that divides 57290 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 57290 and 57310. The biggest common factor number is the GCF number.
So the greatest common factor 57290 and 57310 is 10.

Also check out the Least Common Multiple of 57290 and 57310