What is the Greatest Common Factor of 13608 and 13613?

Greatest common factor (GCF) of 13608 and 13613 is 1.

GCF(13608,13613) = 1

We will now calculate the prime factors of 13608 and 13613, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13608 and 13613.

How to find the GCF of 13608 and 13613?

We will first find the prime factorization of 13608 and 13613. After we will calculate the factors of 13608 and 13613 and find the biggest common factor number .

Step-1: Prime Factorization of 13608

Prime factors of 13608 are 2, 3, 7. Prime factorization of 13608 in exponential form is:

13608 = 2³ × 3⁵ × 7¹

Step-2: Prime Factorization of 13613

Prime factors of 13613 are 13613. Prime factorization of 13613 in exponential form is:

13613 = 13613¹

Step-3: Factors of 13608

List of positive integer factors of 13608 that divides 13608 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 27, 28, 36, 42, 54, 56, 63, 72, 81, 84, 108, 126, 162, 168, 189, 216, 243, 252, 324, 378, 486, 504, 567, 648, 756, 972, 1134, 1512, 1701, 1944, 2268, 3402, 4536, 6804

Step-4: Factors of 13613

List of positive integer factors of 13613 that divides 13608 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13608 and 13613. The biggest common factor number is the GCF number.
So the greatest common factor 13608 and 13613 is 1.

Also check out the Least Common Multiple of 13608 and 13613