What is the Greatest Common Factor of 60584 and 60604?

Greatest common factor (GCF) of 60584 and 60604 is 4.

GCF(60584,60604) = 4

We will now calculate the prime factors of 60584 and 60604, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60584 and 60604.

How to find the GCF of 60584 and 60604?

We will first find the prime factorization of 60584 and 60604. After we will calculate the factors of 60584 and 60604 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 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 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 60604

List of positive integer factors of 60604 that divides 60584 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 60584 and 60604. The biggest common factor number is the GCF number.
So the greatest common factor 60584 and 60604 is 4.

Also check out the Least Common Multiple of 60584 and 60604