What is the Greatest Common Factor of 60600 and 60608?

Greatest common factor (GCF) of 60600 and 60608 is 8.

GCF(60600,60608) = 8

We will now calculate the prime factors of 60600 and 60608, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60600 and 60608.

How to find the GCF of 60600 and 60608?

We will first find the prime factorization of 60600 and 60608. After we will calculate the factors of 60600 and 60608 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 60608

Prime factors of 60608 are 2, 947. Prime factorization of 60608 in exponential form is:

60608 = 2⁶ × 947¹

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 60608

List of positive integer factors of 60608 that divides 60600 without a remainder.

1, 2, 4, 8, 16, 32, 64, 947, 1894, 3788, 7576, 15152, 30304

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60600 and 60608. The biggest common factor number is the GCF number.
So the greatest common factor 60600 and 60608 is 8.

Also check out the Least Common Multiple of 60600 and 60608