What is the Greatest Common Factor of 57561 and 57579?

Greatest common factor (GCF) of 57561 and 57579 is 3.

GCF(57561,57579) = 3

We will now calculate the prime factors of 57561 and 57579, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57561 and 57579.

How to find the GCF of 57561 and 57579?

We will first find the prime factorization of 57561 and 57579. After we will calculate the factors of 57561 and 57579 and find the biggest common factor number .

Step-1: Prime Factorization of 57561

Prime factors of 57561 are 3, 7, 2741. Prime factorization of 57561 in exponential form is:

57561 = 3¹ × 7¹ × 2741¹

Step-2: Prime Factorization of 57579

Prime factors of 57579 are 3, 17, 1129. Prime factorization of 57579 in exponential form is:

57579 = 3¹ × 17¹ × 1129¹

Step-3: Factors of 57561

List of positive integer factors of 57561 that divides 57561 without a remainder.

1, 3, 7, 21, 2741, 8223, 19187

Step-4: Factors of 57579

List of positive integer factors of 57579 that divides 57561 without a remainder.

1, 3, 17, 51, 1129, 3387, 19193

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57561 and 57579. The biggest common factor number is the GCF number.
So the greatest common factor 57561 and 57579 is 3.

Also check out the Least Common Multiple of 57561 and 57579