What is the Greatest Common Factor of 63590 and 63596?

Greatest common factor (GCF) of 63590 and 63596 is 2.

GCF(63590,63596) = 2

We will now calculate the prime factors of 63590 and 63596, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63590 and 63596.

How to find the GCF of 63590 and 63596?

We will first find the prime factorization of 63590 and 63596. After we will calculate the factors of 63590 and 63596 and find the biggest common factor number .

Step-1: Prime Factorization of 63590

Prime factors of 63590 are 2, 5, 6359. Prime factorization of 63590 in exponential form is:

63590 = 2¹ × 5¹ × 6359¹

Step-2: Prime Factorization of 63596

Prime factors of 63596 are 2, 13, 1223. Prime factorization of 63596 in exponential form is:

63596 = 2² × 13¹ × 1223¹

Step-3: Factors of 63590

List of positive integer factors of 63590 that divides 63590 without a remainder.

1, 2, 5, 10, 6359, 12718, 31795

Step-4: Factors of 63596

List of positive integer factors of 63596 that divides 63590 without a remainder.

1, 2, 4, 13, 26, 52, 1223, 2446, 4892, 15899, 31798

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63590 and 63596. The biggest common factor number is the GCF number.
So the greatest common factor 63590 and 63596 is 2.

Also check out the Least Common Multiple of 63590 and 63596