What is the Greatest Common Factor of 60600 and 60617?

Greatest common factor (GCF) of 60600 and 60617 is 1.

GCF(60600,60617) = 1

We will now calculate the prime factors of 60600 and 60617, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60600 and 60617.

How to find the GCF of 60600 and 60617?

We will first find the prime factorization of 60600 and 60617. After we will calculate the factors of 60600 and 60617 and find the biggest common factor number .

Step-1: Prime Factorization of 60600

Prime factors of 60600 are 2, 3, 5, 101. Prime factorization of 60600 in exponential form is:

60600 = 2³ × 3¹ × 5² × 101¹

Step-2: Prime Factorization of 60617

Prime factors of 60617 are 60617. Prime factorization of 60617 in exponential form is:

60617 = 60617¹

Step-3: Factors of 60600

List of positive integer factors of 60600 that divides 60600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 101, 120, 150, 200, 202, 300, 303, 404, 505, 600, 606, 808, 1010, 1212, 1515, 2020, 2424, 2525, 3030, 4040, 5050, 6060, 7575, 10100, 12120, 15150, 20200, 30300

Step-4: Factors of 60617

List of positive integer factors of 60617 that divides 60600 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60600 and 60617. The biggest common factor number is the GCF number.
So the greatest common factor 60600 and 60617 is 1.

Also check out the Least Common Multiple of 60600 and 60617