What is the Greatest Common Factor of 57525 and 57530?

Greatest common factor (GCF) of 57525 and 57530 is 5.

GCF(57525,57530) = 5

We will now calculate the prime factors of 57525 and 57530, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57525 and 57530.

How to find the GCF of 57525 and 57530?

We will first find the prime factorization of 57525 and 57530. After we will calculate the factors of 57525 and 57530 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 57530

Prime factors of 57530 are 2, 5, 11, 523. Prime factorization of 57530 in exponential form is:

57530 = 2¹ × 5¹ × 11¹ × 523¹

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 57530

List of positive integer factors of 57530 that divides 57525 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 523, 1046, 2615, 5230, 5753, 11506, 28765

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57525 and 57530. The biggest common factor number is the GCF number.
So the greatest common factor 57525 and 57530 is 5.

Also check out the Least Common Multiple of 57525 and 57530