What is the Greatest Common Factor of 60584 and 60596?

Greatest common factor (GCF) of 60584 and 60596 is 4.

GCF(60584,60596) = 4

We will now calculate the prime factors of 60584 and 60596, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60584 and 60596.

How to find the GCF of 60584 and 60596?

We will first find the prime factorization of 60584 and 60596. After we will calculate the factors of 60584 and 60596 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 60596

Prime factors of 60596 are 2, 15149. Prime factorization of 60596 in exponential form is:

60596 = 2² × 15149¹

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 60596

List of positive integer factors of 60596 that divides 60584 without a remainder.

1, 2, 4, 15149, 30298

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60584 and 60596. The biggest common factor number is the GCF number.
So the greatest common factor 60584 and 60596 is 4.

Also check out the Least Common Multiple of 60584 and 60596