What is the Greatest Common Factor of 60754 and 60772?

Greatest common factor (GCF) of 60754 and 60772 is 2.

GCF(60754,60772) = 2

We will now calculate the prime factors of 60754 and 60772, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60754 and 60772.

How to find the GCF of 60754 and 60772?

We will first find the prime factorization of 60754 and 60772. After we will calculate the factors of 60754 and 60772 and find the biggest common factor number .

Step-1: Prime Factorization of 60754

Prime factors of 60754 are 2, 37, 821. Prime factorization of 60754 in exponential form is:

60754 = 2¹ × 37¹ × 821¹

Step-2: Prime Factorization of 60772

Prime factors of 60772 are 2, 15193. Prime factorization of 60772 in exponential form is:

60772 = 2² × 15193¹

Step-3: Factors of 60754

List of positive integer factors of 60754 that divides 60754 without a remainder.

1, 2, 37, 74, 821, 1642, 30377

Step-4: Factors of 60772

List of positive integer factors of 60772 that divides 60754 without a remainder.

1, 2, 4, 15193, 30386

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60754 and 60772. The biggest common factor number is the GCF number.
So the greatest common factor 60754 and 60772 is 2.

Also check out the Least Common Multiple of 60754 and 60772