What is the Greatest Common Factor of 60744 and 60759?

Greatest common factor (GCF) of 60744 and 60759 is 3.

GCF(60744,60759) = 3

We will now calculate the prime factors of 60744 and 60759, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60744 and 60759.

How to find the GCF of 60744 and 60759?

We will first find the prime factorization of 60744 and 60759. After we will calculate the factors of 60744 and 60759 and find the biggest common factor number .

Step-1: Prime Factorization of 60744

Prime factors of 60744 are 2, 3, 2531. Prime factorization of 60744 in exponential form is:

60744 = 2³ × 3¹ × 2531¹

Step-2: Prime Factorization of 60759

Prime factors of 60759 are 3, 43, 157. Prime factorization of 60759 in exponential form is:

60759 = 3² × 43¹ × 157¹

Step-3: Factors of 60744

List of positive integer factors of 60744 that divides 60744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2531, 5062, 7593, 10124, 15186, 20248, 30372

Step-4: Factors of 60759

List of positive integer factors of 60759 that divides 60744 without a remainder.

1, 3, 9, 43, 129, 157, 387, 471, 1413, 6751, 20253

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60744 and 60759. The biggest common factor number is the GCF number.
So the greatest common factor 60744 and 60759 is 3.

Also check out the Least Common Multiple of 60744 and 60759