What is the Greatest Common Factor of 57699 and 57711?

Greatest common factor (GCF) of 57699 and 57711 is 3.

GCF(57699,57711) = 3

We will now calculate the prime factors of 57699 and 57711, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57699 and 57711.

How to find the GCF of 57699 and 57711?

We will first find the prime factorization of 57699 and 57711. After we will calculate the factors of 57699 and 57711 and find the biggest common factor number .

Step-1: Prime Factorization of 57699

Prime factors of 57699 are 3, 2137. Prime factorization of 57699 in exponential form is:

57699 = 3³ × 2137¹

Step-2: Prime Factorization of 57711

Prime factors of 57711 are 3, 19237. Prime factorization of 57711 in exponential form is:

57711 = 3¹ × 19237¹

Step-3: Factors of 57699

List of positive integer factors of 57699 that divides 57699 without a remainder.

1, 3, 9, 27, 2137, 6411, 19233

Step-4: Factors of 57711

List of positive integer factors of 57711 that divides 57699 without a remainder.

1, 3, 19237

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57699 and 57711. The biggest common factor number is the GCF number.
So the greatest common factor 57699 and 57711 is 3.

Also check out the Least Common Multiple of 57699 and 57711