What is the Greatest Common Factor of 57872 and 57879?

Greatest common factor (GCF) of 57872 and 57879 is 1.

GCF(57872,57879) = 1

We will now calculate the prime factors of 57872 and 57879, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57872 and 57879.

How to find the GCF of 57872 and 57879?

We will first find the prime factorization of 57872 and 57879. After we will calculate the factors of 57872 and 57879 and find the biggest common factor number .

Step-1: Prime Factorization of 57872

Prime factors of 57872 are 2, 3617. Prime factorization of 57872 in exponential form is:

57872 = 2⁴ × 3617¹

Step-2: Prime Factorization of 57879

Prime factors of 57879 are 3, 59, 109. Prime factorization of 57879 in exponential form is:

57879 = 3² × 59¹ × 109¹

Step-3: Factors of 57872

List of positive integer factors of 57872 that divides 57872 without a remainder.

1, 2, 4, 8, 16, 3617, 7234, 14468, 28936

Step-4: Factors of 57879

List of positive integer factors of 57879 that divides 57872 without a remainder.

1, 3, 9, 59, 109, 177, 327, 531, 981, 6431, 19293

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57872 and 57879. The biggest common factor number is the GCF number.
So the greatest common factor 57872 and 57879 is 1.

Also check out the Least Common Multiple of 57872 and 57879