What is the Greatest Common Factor of 57290 and 57295?

Greatest common factor (GCF) of 57290 and 57295 is 5.

GCF(57290,57295) = 5

We will now calculate the prime factors of 57290 and 57295, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57290 and 57295.

How to find the GCF of 57290 and 57295?

We will first find the prime factorization of 57290 and 57295. After we will calculate the factors of 57290 and 57295 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 57295

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

57295 = 5¹ × 7¹ × 1637¹

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 57295

List of positive integer factors of 57295 that divides 57290 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57290 and 57295. The biggest common factor number is the GCF number.
So the greatest common factor 57290 and 57295 is 5.

Also check out the Least Common Multiple of 57290 and 57295