What is the Greatest Common Factor of 60707 and 60723?

Greatest common factor (GCF) of 60707 and 60723 is 1.

GCF(60707,60723) = 1

We will now calculate the prime factors of 60707 and 60723, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60707 and 60723.

How to find the GCF of 60707 and 60723?

We will first find the prime factorization of 60707 and 60723. After we will calculate the factors of 60707 and 60723 and find the biggest common factor number .

Step-1: Prime Factorization of 60707

Prime factors of 60707 are 17, 3571. Prime factorization of 60707 in exponential form is:

60707 = 17¹ × 3571¹

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 60707

List of positive integer factors of 60707 that divides 60707 without a remainder.

1, 17, 3571

Step-4: Factors of 60723

List of positive integer factors of 60723 that divides 60707 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 60707 and 60723. The biggest common factor number is the GCF number.
So the greatest common factor 60707 and 60723 is 1.

Also check out the Least Common Multiple of 60707 and 60723