What is the Greatest Common Factor of 60600 and 60604?

Greatest common factor (GCF) of 60600 and 60604 is 4.

GCF(60600,60604) = 4

We will now calculate the prime factors of 60600 and 60604, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60600 and 60604.

How to find the GCF of 60600 and 60604?

We will first find the prime factorization of 60600 and 60604. After we will calculate the factors of 60600 and 60604 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 60604

Prime factors of 60604 are 2, 109, 139. Prime factorization of 60604 in exponential form is:

60604 = 2² × 109¹ × 139¹

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 60604

List of positive integer factors of 60604 that divides 60600 without a remainder.

1, 2, 4, 109, 139, 218, 278, 436, 556, 15151, 30302

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60600 and 60604. The biggest common factor number is the GCF number.
So the greatest common factor 60600 and 60604 is 4.

Also check out the Least Common Multiple of 60600 and 60604