What is the Greatest Common Factor of 55699 and 55713?

Greatest common factor (GCF) of 55699 and 55713 is 7.

GCF(55699,55713) = 7

We will now calculate the prime factors of 55699 and 55713, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55699 and 55713.

How to find the GCF of 55699 and 55713?

We will first find the prime factorization of 55699 and 55713. After we will calculate the factors of 55699 and 55713 and find the biggest common factor number .

Step-1: Prime Factorization of 55699

Prime factors of 55699 are 7, 73, 109. Prime factorization of 55699 in exponential form is:

55699 = 7¹ × 73¹ × 109¹

Step-2: 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-3: Factors of 55699

List of positive integer factors of 55699 that divides 55699 without a remainder.

1, 7, 73, 109, 511, 763, 7957

Step-4: Factors of 55713

List of positive integer factors of 55713 that divides 55699 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55699 and 55713. The biggest common factor number is the GCF number.
So the greatest common factor 55699 and 55713 is 7.

Also check out the Least Common Multiple of 55699 and 55713