What is the Greatest Common Factor of 57490 and 57500?

Greatest common factor (GCF) of 57490 and 57500 is 10.

GCF(57490,57500) = 10

We will now calculate the prime factors of 57490 and 57500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57490 and 57500.

How to find the GCF of 57490 and 57500?

We will first find the prime factorization of 57490 and 57500. After we will calculate the factors of 57490 and 57500 and find the biggest common factor number .

Step-1: Prime Factorization of 57490

Prime factors of 57490 are 2, 5, 5749. Prime factorization of 57490 in exponential form is:

57490 = 2¹ × 5¹ × 5749¹

Step-2: Prime Factorization of 57500

Prime factors of 57500 are 2, 5, 23. Prime factorization of 57500 in exponential form is:

57500 = 2² × 5⁴ × 23¹

Step-3: Factors of 57490

List of positive integer factors of 57490 that divides 57490 without a remainder.

1, 2, 5, 10, 5749, 11498, 28745

Step-4: Factors of 57500

List of positive integer factors of 57500 that divides 57490 without a remainder.

1, 2, 4, 5, 10, 20, 23, 25, 46, 50, 92, 100, 115, 125, 230, 250, 460, 500, 575, 625, 1150, 1250, 2300, 2500, 2875, 5750, 11500, 14375, 28750

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57490 and 57500. The biggest common factor number is the GCF number.
So the greatest common factor 57490 and 57500 is 10.

Also check out the Least Common Multiple of 57490 and 57500