What is the Greatest Common Factor of 63583 and 63596?

Greatest common factor (GCF) of 63583 and 63596 is 13.

GCF(63583,63596) = 13

We will now calculate the prime factors of 63583 and 63596, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63583 and 63596.

How to find the GCF of 63583 and 63596?

We will first find the prime factorization of 63583 and 63596. After we will calculate the factors of 63583 and 63596 and find the biggest common factor number .

Step-1: Prime Factorization of 63583

Prime factors of 63583 are 13, 67, 73. Prime factorization of 63583 in exponential form is:

63583 = 13¹ × 67¹ × 73¹

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 63583

List of positive integer factors of 63583 that divides 63583 without a remainder.

1, 13, 67, 73, 871, 949, 4891

Step-4: Factors of 63596

List of positive integer factors of 63596 that divides 63583 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 63583 and 63596. The biggest common factor number is the GCF number.
So the greatest common factor 63583 and 63596 is 13.

Also check out the Least Common Multiple of 63583 and 63596