What is the Greatest Common Factor of 60584 and 60600?

Greatest common factor (GCF) of 60584 and 60600 is 8.

GCF(60584,60600) = 8

We will now calculate the prime factors of 60584 and 60600, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60584 and 60600.

How to find the GCF of 60584 and 60600?

We will first find the prime factorization of 60584 and 60600. After we will calculate the factors of 60584 and 60600 and find the biggest common factor number .

Step-1: Prime Factorization of 60584

Prime factors of 60584 are 2, 7573. Prime factorization of 60584 in exponential form is:

60584 = 2³ × 7573¹

Step-2: 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-3: Factors of 60584

List of positive integer factors of 60584 that divides 60584 without a remainder.

1, 2, 4, 8, 7573, 15146, 30292

Step-4: Factors of 60600

List of positive integer factors of 60600 that divides 60584 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60584 and 60600. The biggest common factor number is the GCF number.
So the greatest common factor 60584 and 60600 is 8.

Also check out the Least Common Multiple of 60584 and 60600