What is the Greatest Common Factor of 56859 and 56871?

Greatest common factor (GCF) of 56859 and 56871 is 3.

GCF(56859,56871) = 3

We will now calculate the prime factors of 56859 and 56871, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56859 and 56871.

How to find the GCF of 56859 and 56871?

We will first find the prime factorization of 56859 and 56871. After we will calculate the factors of 56859 and 56871 and find the biggest common factor number .

Step-1: Prime Factorization of 56859

Prime factors of 56859 are 3, 11, 1723. Prime factorization of 56859 in exponential form is:

56859 = 3¹ × 11¹ × 1723¹

Step-2: Prime Factorization of 56871

Prime factors of 56871 are 3, 71, 89. Prime factorization of 56871 in exponential form is:

56871 = 3² × 71¹ × 89¹

Step-3: Factors of 56859

List of positive integer factors of 56859 that divides 56859 without a remainder.

1, 3, 11, 33, 1723, 5169, 18953

Step-4: Factors of 56871

List of positive integer factors of 56871 that divides 56859 without a remainder.

1, 3, 9, 71, 89, 213, 267, 639, 801, 6319, 18957

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56859 and 56871. The biggest common factor number is the GCF number.
So the greatest common factor 56859 and 56871 is 3.

Also check out the Least Common Multiple of 56859 and 56871