What is the Greatest Common Factor of 60710 and 60723?

Greatest common factor (GCF) of 60710 and 60723 is 13.

GCF(60710,60723) = 13

We will now calculate the prime factors of 60710 and 60723, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60710 and 60723.

How to find the GCF of 60710 and 60723?

We will first find the prime factorization of 60710 and 60723. After we will calculate the factors of 60710 and 60723 and find the biggest common factor number .

Step-1: Prime Factorization of 60710

Prime factors of 60710 are 2, 5, 13, 467. Prime factorization of 60710 in exponential form is:

60710 = 2¹ × 5¹ × 13¹ × 467¹

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 60710

List of positive integer factors of 60710 that divides 60710 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 467, 934, 2335, 4670, 6071, 12142, 30355

Step-4: Factors of 60723

List of positive integer factors of 60723 that divides 60710 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 60710 and 60723. The biggest common factor number is the GCF number.
So the greatest common factor 60710 and 60723 is 13.

Also check out the Least Common Multiple of 60710 and 60723