What is the Greatest Common Factor of 62709 and 62718?

Greatest common factor (GCF) of 62709 and 62718 is 3.

GCF(62709,62718) = 3

We will now calculate the prime factors of 62709 and 62718, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62709 and 62718.

How to find the GCF of 62709 and 62718?

We will first find the prime factorization of 62709 and 62718. After we will calculate the factors of 62709 and 62718 and find the biggest common factor number .

Step-1: Prime Factorization of 62709

Prime factors of 62709 are 3, 20903. Prime factorization of 62709 in exponential form is:

62709 = 3¹ × 20903¹

Step-2: Prime Factorization of 62718

Prime factors of 62718 are 2, 3, 10453. Prime factorization of 62718 in exponential form is:

62718 = 2¹ × 3¹ × 10453¹

Step-3: Factors of 62709

List of positive integer factors of 62709 that divides 62709 without a remainder.

1, 3, 20903

Step-4: Factors of 62718

List of positive integer factors of 62718 that divides 62709 without a remainder.

1, 2, 3, 6, 10453, 20906, 31359

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62709 and 62718. The biggest common factor number is the GCF number.
So the greatest common factor 62709 and 62718 is 3.

Also check out the Least Common Multiple of 62709 and 62718