What is the Greatest Common Factor of 57525 and 57534?

Greatest common factor (GCF) of 57525 and 57534 is 3.

GCF(57525,57534) = 3

We will now calculate the prime factors of 57525 and 57534, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57525 and 57534.

How to find the GCF of 57525 and 57534?

We will first find the prime factorization of 57525 and 57534. After we will calculate the factors of 57525 and 57534 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 57534

Prime factors of 57534 are 2, 3, 43, 223. Prime factorization of 57534 in exponential form is:

57534 = 2¹ × 3¹ × 43¹ × 223¹

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 57534

List of positive integer factors of 57534 that divides 57525 without a remainder.

1, 2, 3, 6, 43, 86, 129, 223, 258, 446, 669, 1338, 9589, 19178, 28767

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57525 and 57534. The biggest common factor number is the GCF number.
So the greatest common factor 57525 and 57534 is 3.

Also check out the Least Common Multiple of 57525 and 57534