What is the Greatest Common Factor of 13589 and 13608?

Greatest common factor (GCF) of 13589 and 13608 is 1.

GCF(13589,13608) = 1

We will now calculate the prime factors of 13589 and 13608, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13589 and 13608.

How to find the GCF of 13589 and 13608?

We will first find the prime factorization of 13589 and 13608. After we will calculate the factors of 13589 and 13608 and find the biggest common factor number .

Step-1: Prime Factorization of 13589

Prime factors of 13589 are 107, 127. Prime factorization of 13589 in exponential form is:

13589 = 107¹ × 127¹

Step-2: 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-3: Factors of 13589

List of positive integer factors of 13589 that divides 13589 without a remainder.

1, 107, 127

Step-4: Factors of 13608

List of positive integer factors of 13608 that divides 13589 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13589 and 13608. The biggest common factor number is the GCF number.
So the greatest common factor 13589 and 13608 is 1.

Also check out the Least Common Multiple of 13589 and 13608