What is the Greatest Common Factor of 57525 and 57545?

Greatest common factor (GCF) of 57525 and 57545 is 5.

GCF(57525,57545) = 5

We will now calculate the prime factors of 57525 and 57545, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57525 and 57545.

How to find the GCF of 57525 and 57545?

We will first find the prime factorization of 57525 and 57545. After we will calculate the factors of 57525 and 57545 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 57545

Prime factors of 57545 are 5, 17, 677. Prime factorization of 57545 in exponential form is:

57545 = 5¹ × 17¹ × 677¹

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 57545

List of positive integer factors of 57545 that divides 57525 without a remainder.

1, 5, 17, 85, 677, 3385, 11509

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57525 and 57545. The biggest common factor number is the GCF number.
So the greatest common factor 57525 and 57545 is 5.

Also check out the Least Common Multiple of 57525 and 57545