What is the Greatest Common Factor of 60742 and 60753?

Greatest common factor (GCF) of 60742 and 60753 is 11.

GCF(60742,60753) = 11

We will now calculate the prime factors of 60742 and 60753, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60742 and 60753.

How to find the GCF of 60742 and 60753?

We will first find the prime factorization of 60742 and 60753. After we will calculate the factors of 60742 and 60753 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 60753

Prime factors of 60753 are 3, 7, 11, 263. Prime factorization of 60753 in exponential form is:

60753 = 3¹ × 7¹ × 11¹ × 263¹

Step-3: Factors of 60742

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

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

Step-4: Factors of 60753

List of positive integer factors of 60753 that divides 60742 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231, 263, 789, 1841, 2893, 5523, 8679, 20251

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60742 and 60753. The biggest common factor number is the GCF number.
So the greatest common factor 60742 and 60753 is 11.

Also check out the Least Common Multiple of 60742 and 60753