What is the Greatest Common Factor of 57552 and 57565?

Greatest common factor (GCF) of 57552 and 57565 is 1.

GCF(57552,57565) = 1

We will now calculate the prime factors of 57552 and 57565, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57552 and 57565.

How to find the GCF of 57552 and 57565?

We will first find the prime factorization of 57552 and 57565. After we will calculate the factors of 57552 and 57565 and find the biggest common factor number .

Step-1: Prime Factorization of 57552

Prime factors of 57552 are 2, 3, 11, 109. Prime factorization of 57552 in exponential form is:

57552 = 2⁴ × 3¹ × 11¹ × 109¹

Step-2: Prime Factorization of 57565

Prime factors of 57565 are 5, 29, 397. Prime factorization of 57565 in exponential form is:

57565 = 5¹ × 29¹ × 397¹

Step-3: Factors of 57552

List of positive integer factors of 57552 that divides 57552 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 109, 132, 176, 218, 264, 327, 436, 528, 654, 872, 1199, 1308, 1744, 2398, 2616, 3597, 4796, 5232, 7194, 9592, 14388, 19184, 28776

Step-4: Factors of 57565

List of positive integer factors of 57565 that divides 57552 without a remainder.

1, 5, 29, 145, 397, 1985, 11513

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57552 and 57565. The biggest common factor number is the GCF number.
So the greatest common factor 57552 and 57565 is 1.

Also check out the Least Common Multiple of 57552 and 57565