What is the Greatest Common Factor of 57525 and 57541?

Greatest common factor (GCF) of 57525 and 57541 is 1.

GCF(57525,57541) = 1

We will now calculate the prime factors of 57525 and 57541, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57525 and 57541.

How to find the GCF of 57525 and 57541?

We will first find the prime factorization of 57525 and 57541. After we will calculate the factors of 57525 and 57541 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 57541

Prime factors of 57541 are 11, 5231. Prime factorization of 57541 in exponential form is:

57541 = 11¹ × 5231¹

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 57541

List of positive integer factors of 57541 that divides 57525 without a remainder.

1, 11, 5231

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57525 and 57541. The biggest common factor number is the GCF number.
So the greatest common factor 57525 and 57541 is 1.

Also check out the Least Common Multiple of 57525 and 57541