What is the Greatest Common Factor of 48584 and 48604?

Greatest common factor (GCF) of 48584 and 48604 is 4.

GCF(48584,48604) = 4

We will now calculate the prime factors of 48584 and 48604, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48584 and 48604.

How to find the GCF of 48584 and 48604?

We will first find the prime factorization of 48584 and 48604. After we will calculate the factors of 48584 and 48604 and find the biggest common factor number .

Step-1: Prime Factorization of 48584

Prime factors of 48584 are 2, 6073. Prime factorization of 48584 in exponential form is:

48584 = 2³ × 6073¹

Step-2: Prime Factorization of 48604

Prime factors of 48604 are 2, 29, 419. Prime factorization of 48604 in exponential form is:

48604 = 2² × 29¹ × 419¹

Step-3: Factors of 48584

List of positive integer factors of 48584 that divides 48584 without a remainder.

1, 2, 4, 8, 6073, 12146, 24292

Step-4: Factors of 48604

List of positive integer factors of 48604 that divides 48584 without a remainder.

1, 2, 4, 29, 58, 116, 419, 838, 1676, 12151, 24302

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48584 and 48604. The biggest common factor number is the GCF number.
So the greatest common factor 48584 and 48604 is 4.

Also check out the Least Common Multiple of 48584 and 48604