What is the Greatest Common Factor of 48586 and 48596?

Greatest common factor (GCF) of 48586 and 48596 is 2.

GCF(48586,48596) = 2

We will now calculate the prime factors of 48586 and 48596, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48586 and 48596.

How to find the GCF of 48586 and 48596?

We will first find the prime factorization of 48586 and 48596. After we will calculate the factors of 48586 and 48596 and find the biggest common factor number .

Step-1: Prime Factorization of 48586

Prime factors of 48586 are 2, 17, 1429. Prime factorization of 48586 in exponential form is:

48586 = 2¹ × 17¹ × 1429¹

Step-2: Prime Factorization of 48596

Prime factors of 48596 are 2, 12149. Prime factorization of 48596 in exponential form is:

48596 = 2² × 12149¹

Step-3: Factors of 48586

List of positive integer factors of 48586 that divides 48586 without a remainder.

1, 2, 17, 34, 1429, 2858, 24293

Step-4: Factors of 48596

List of positive integer factors of 48596 that divides 48586 without a remainder.

1, 2, 4, 12149, 24298

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48586 and 48596. The biggest common factor number is the GCF number.
So the greatest common factor 48586 and 48596 is 2.

Also check out the Least Common Multiple of 48586 and 48596