What is the Greatest Common Factor of 60566 and 60577?

Greatest common factor (GCF) of 60566 and 60577 is 11.

GCF(60566,60577) = 11

We will now calculate the prime factors of 60566 and 60577, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60566 and 60577.

How to find the GCF of 60566 and 60577?

We will first find the prime factorization of 60566 and 60577. After we will calculate the factors of 60566 and 60577 and find the biggest common factor number .

Step-1: Prime Factorization of 60566

Prime factors of 60566 are 2, 11, 2753. Prime factorization of 60566 in exponential form is:

60566 = 2¹ × 11¹ × 2753¹

Step-2: Prime Factorization of 60577

Prime factors of 60577 are 11, 5507. Prime factorization of 60577 in exponential form is:

60577 = 11¹ × 5507¹

Step-3: Factors of 60566

List of positive integer factors of 60566 that divides 60566 without a remainder.

1, 2, 11, 22, 2753, 5506, 30283

Step-4: Factors of 60577

List of positive integer factors of 60577 that divides 60566 without a remainder.

1, 11, 5507

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60566 and 60577. The biggest common factor number is the GCF number.
So the greatest common factor 60566 and 60577 is 11.

Also check out the Least Common Multiple of 60566 and 60577