What is the Greatest Common Factor of 60575 and 60579?

Greatest common factor (GCF) of 60575 and 60579 is 1.

GCF(60575,60579) = 1

We will now calculate the prime factors of 60575 and 60579, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60575 and 60579.

How to find the GCF of 60575 and 60579?

We will first find the prime factorization of 60575 and 60579. After we will calculate the factors of 60575 and 60579 and find the biggest common factor number .

Step-1: Prime Factorization of 60575

Prime factors of 60575 are 5, 2423. Prime factorization of 60575 in exponential form is:

60575 = 5² × 2423¹

Step-2: Prime Factorization of 60579

Prime factors of 60579 are 3, 53, 127. Prime factorization of 60579 in exponential form is:

60579 = 3² × 53¹ × 127¹

Step-3: Factors of 60575

List of positive integer factors of 60575 that divides 60575 without a remainder.

1, 5, 25, 2423, 12115

Step-4: Factors of 60579

List of positive integer factors of 60579 that divides 60575 without a remainder.

1, 3, 9, 53, 127, 159, 381, 477, 1143, 6731, 20193

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60575 and 60579. The biggest common factor number is the GCF number.
So the greatest common factor 60575 and 60579 is 1.

Also check out the Least Common Multiple of 60575 and 60579