What is the Greatest Common Factor of 60723 and 60742?

Greatest common factor (GCF) of 60723 and 60742 is 1.

GCF(60723,60742) = 1

We will now calculate the prime factors of 60723 and 60742, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60723 and 60742.

How to find the GCF of 60723 and 60742?

We will first find the prime factorization of 60723 and 60742. After we will calculate the factors of 60723 and 60742 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 60742

Prime factors of 60742 are 2, 11, 251. Prime factorization of 60742 in exponential form is:

60742 = 2¹ × 11² × 251¹

Step-3: Factors of 60723

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

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

Step-4: Factors of 60742

List of positive integer factors of 60742 that divides 60723 without a remainder.

1, 2, 11, 22, 121, 242, 251, 502, 2761, 5522, 30371

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60723 and 60742. The biggest common factor number is the GCF number.
So the greatest common factor 60723 and 60742 is 1.

Also check out the Least Common Multiple of 60723 and 60742