What is the Greatest Common Factor of 57509 and 57525?

Greatest common factor (GCF) of 57509 and 57525 is 1.

GCF(57509,57525) = 1

We will now calculate the prime factors of 57509 and 57525, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57509 and 57525.

How to find the GCF of 57509 and 57525?

We will first find the prime factorization of 57509 and 57525. After we will calculate the factors of 57509 and 57525 and find the biggest common factor number .

Step-1: Prime Factorization of 57509

Prime factors of 57509 are 131, 439. Prime factorization of 57509 in exponential form is:

57509 = 131¹ × 439¹

Step-2: 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-3: Factors of 57509

List of positive integer factors of 57509 that divides 57509 without a remainder.

1, 131, 439

Step-4: Factors of 57525

List of positive integer factors of 57525 that divides 57509 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57509 and 57525. The biggest common factor number is the GCF number.
So the greatest common factor 57509 and 57525 is 1.

Also check out the Least Common Multiple of 57509 and 57525