What is the Greatest Common Factor of 62584 and 62596?

Greatest common factor (GCF) of 62584 and 62596 is 4.

GCF(62584,62596) = 4

We will now calculate the prime factors of 62584 and 62596, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62584 and 62596.

How to find the GCF of 62584 and 62596?

We will first find the prime factorization of 62584 and 62596. After we will calculate the factors of 62584 and 62596 and find the biggest common factor number .

Step-1: Prime Factorization of 62584

Prime factors of 62584 are 2, 7823. Prime factorization of 62584 in exponential form is:

62584 = 2³ × 7823¹

Step-2: Prime Factorization of 62596

Prime factors of 62596 are 2, 15649. Prime factorization of 62596 in exponential form is:

62596 = 2² × 15649¹

Step-3: Factors of 62584

List of positive integer factors of 62584 that divides 62584 without a remainder.

1, 2, 4, 8, 7823, 15646, 31292

Step-4: Factors of 62596

List of positive integer factors of 62596 that divides 62584 without a remainder.

1, 2, 4, 15649, 31298

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62584 and 62596. The biggest common factor number is the GCF number.
So the greatest common factor 62584 and 62596 is 4.

Also check out the Least Common Multiple of 62584 and 62596