What is the Greatest Common Factor of 57500 and 57505?

Greatest common factor (GCF) of 57500 and 57505 is 5.

GCF(57500,57505) = 5

We will now calculate the prime factors of 57500 and 57505, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57500 and 57505.

How to find the GCF of 57500 and 57505?

We will first find the prime factorization of 57500 and 57505. After we will calculate the factors of 57500 and 57505 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 57505

Prime factors of 57505 are 5, 7, 31, 53. Prime factorization of 57505 in exponential form is:

57505 = 5¹ × 7¹ × 31¹ × 53¹

Step-3: Factors of 57500

List of positive integer factors of 57500 that divides 57500 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

Step-4: Factors of 57505

List of positive integer factors of 57505 that divides 57500 without a remainder.

1, 5, 7, 31, 35, 53, 155, 217, 265, 371, 1085, 1643, 1855, 8215, 11501

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57500 and 57505. The biggest common factor number is the GCF number.
So the greatest common factor 57500 and 57505 is 5.

Also check out the Least Common Multiple of 57500 and 57505