What is the Greatest Common Factor of 57525 and 57538?

Greatest common factor (GCF) of 57525 and 57538 is 13.

GCF(57525,57538) = 13

We will now calculate the prime factors of 57525 and 57538, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57525 and 57538.

How to find the GCF of 57525 and 57538?

We will first find the prime factorization of 57525 and 57538. After we will calculate the factors of 57525 and 57538 and find the biggest common factor number .

Step-1: Prime Factorization of 57525

Prime factors of 57525 are 3, 5, 13, 59. Prime factorization of 57525 in exponential form is:

57525 = 3¹ × 5² × 13¹ × 59¹

Step-2: Prime Factorization of 57538

Prime factors of 57538 are 2, 13, 2213. Prime factorization of 57538 in exponential form is:

57538 = 2¹ × 13¹ × 2213¹

Step-3: Factors of 57525

List of positive integer factors of 57525 that divides 57525 without a remainder.

1, 3, 5, 13, 15, 25, 39, 59, 65, 75, 177, 195, 295, 325, 767, 885, 975, 1475, 2301, 3835, 4425, 11505, 19175

Step-4: Factors of 57538

List of positive integer factors of 57538 that divides 57525 without a remainder.

1, 2, 13, 26, 2213, 4426, 28769

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57525 and 57538. The biggest common factor number is the GCF number.
So the greatest common factor 57525 and 57538 is 13.

Also check out the Least Common Multiple of 57525 and 57538