What is the Greatest Common Factor of 55713 and 55722?

Greatest common factor (GCF) of 55713 and 55722 is 3.

GCF(55713,55722) = 3

We will now calculate the prime factors of 55713 and 55722, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55713 and 55722.

How to find the GCF of 55713 and 55722?

We will first find the prime factorization of 55713 and 55722. After we will calculate the factors of 55713 and 55722 and find the biggest common factor number .

Step-1: Prime Factorization of 55713

Prime factors of 55713 are 3, 7, 379. Prime factorization of 55713 in exponential form is:

55713 = 3¹ × 7² × 379¹

Step-2: Prime Factorization of 55722

Prime factors of 55722 are 2, 3, 37, 251. Prime factorization of 55722 in exponential form is:

55722 = 2¹ × 3¹ × 37¹ × 251¹

Step-3: Factors of 55713

List of positive integer factors of 55713 that divides 55713 without a remainder.

1, 3, 7, 21, 49, 147, 379, 1137, 2653, 7959, 18571

Step-4: Factors of 55722

List of positive integer factors of 55722 that divides 55713 without a remainder.

1, 2, 3, 6, 37, 74, 111, 222, 251, 502, 753, 1506, 9287, 18574, 27861

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55713 and 55722. The biggest common factor number is the GCF number.
So the greatest common factor 55713 and 55722 is 3.

Also check out the Least Common Multiple of 55713 and 55722