What is the Greatest Common Factor of 13608 and 13617?

Greatest common factor (GCF) of 13608 and 13617 is 9.

GCF(13608,13617) = 9

We will now calculate the prime factors of 13608 and 13617, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13608 and 13617.

How to find the GCF of 13608 and 13617?

We will first find the prime factorization of 13608 and 13617. After we will calculate the factors of 13608 and 13617 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 13617

Prime factors of 13617 are 3, 17, 89. Prime factorization of 13617 in exponential form is:

13617 = 3² × 17¹ × 89¹

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 13617

List of positive integer factors of 13617 that divides 13608 without a remainder.

1, 3, 9, 17, 51, 89, 153, 267, 801, 1513, 4539

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13608 and 13617. The biggest common factor number is the GCF number.
So the greatest common factor 13608 and 13617 is 9.

Also check out the Least Common Multiple of 13608 and 13617