What is the Greatest Common Factor of 60713 and 60723?

Greatest common factor (GCF) of 60713 and 60723 is 1.

GCF(60713,60723) = 1

We will now calculate the prime factors of 60713 and 60723, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60713 and 60723.

How to find the GCF of 60713 and 60723?

We will first find the prime factorization of 60713 and 60723. After we will calculate the factors of 60713 and 60723 and find the biggest common factor number .

Step-1: Prime Factorization of 60713

Prime factors of 60713 are 109, 557. Prime factorization of 60713 in exponential form is:

60713 = 109¹ × 557¹

Step-2: Prime Factorization of 60723

Prime factors of 60723 are 3, 13, 173. Prime factorization of 60723 in exponential form is:

60723 = 3³ × 13¹ × 173¹

Step-3: Factors of 60713

List of positive integer factors of 60713 that divides 60713 without a remainder.

1, 109, 557

Step-4: Factors of 60723

List of positive integer factors of 60723 that divides 60713 without a remainder.

1, 3, 9, 13, 27, 39, 117, 173, 351, 519, 1557, 2249, 4671, 6747, 20241

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60713 and 60723. The biggest common factor number is the GCF number.
So the greatest common factor 60713 and 60723 is 1.

Also check out the Least Common Multiple of 60713 and 60723