What is the Greatest Common Factor of 57576 and 57585?

Greatest common factor (GCF) of 57576 and 57585 is 3.

GCF(57576,57585) = 3

We will now calculate the prime factors of 57576 and 57585, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57576 and 57585.

How to find the GCF of 57576 and 57585?

We will first find the prime factorization of 57576 and 57585. After we will calculate the factors of 57576 and 57585 and find the biggest common factor number .

Step-1: Prime Factorization of 57576

Prime factors of 57576 are 2, 3, 2399. Prime factorization of 57576 in exponential form is:

57576 = 2³ × 3¹ × 2399¹

Step-2: Prime Factorization of 57585

Prime factors of 57585 are 3, 5, 11, 349. Prime factorization of 57585 in exponential form is:

57585 = 3¹ × 5¹ × 11¹ × 349¹

Step-3: Factors of 57576

List of positive integer factors of 57576 that divides 57576 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2399, 4798, 7197, 9596, 14394, 19192, 28788

Step-4: Factors of 57585

List of positive integer factors of 57585 that divides 57576 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165, 349, 1047, 1745, 3839, 5235, 11517, 19195

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57576 and 57585. The biggest common factor number is the GCF number.
So the greatest common factor 57576 and 57585 is 3.

Also check out the Least Common Multiple of 57576 and 57585