What is the Greatest Common Factor of 57250 and 57260?

Greatest common factor (GCF) of 57250 and 57260 is 10.

GCF(57250,57260) = 10

We will now calculate the prime factors of 57250 and 57260, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57250 and 57260.

How to find the GCF of 57250 and 57260?

We will first find the prime factorization of 57250 and 57260. After we will calculate the factors of 57250 and 57260 and find the biggest common factor number .

Step-1: Prime Factorization of 57250

Prime factors of 57250 are 2, 5, 229. Prime factorization of 57250 in exponential form is:

57250 = 2¹ × 5³ × 229¹

Step-2: Prime Factorization of 57260

Prime factors of 57260 are 2, 5, 7, 409. Prime factorization of 57260 in exponential form is:

57260 = 2² × 5¹ × 7¹ × 409¹

Step-3: Factors of 57250

List of positive integer factors of 57250 that divides 57250 without a remainder.

1, 2, 5, 10, 25, 50, 125, 229, 250, 458, 1145, 2290, 5725, 11450, 28625

Step-4: Factors of 57260

List of positive integer factors of 57260 that divides 57250 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 409, 818, 1636, 2045, 2863, 4090, 5726, 8180, 11452, 14315, 28630

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57250 and 57260. The biggest common factor number is the GCF number.
So the greatest common factor 57250 and 57260 is 10.

Also check out the Least Common Multiple of 57250 and 57260