What is the Greatest Common Factor of 13146 and 13152?

Greatest common factor (GCF) of 13146 and 13152 is 6.

GCF(13146,13152) = 6

We will now calculate the prime factors of 13146 and 13152, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13146 and 13152.

How to find the GCF of 13146 and 13152?

We will first find the prime factorization of 13146 and 13152. After we will calculate the factors of 13146 and 13152 and find the biggest common factor number .

Step-1: Prime Factorization of 13146

Prime factors of 13146 are 2, 3, 7, 313. Prime factorization of 13146 in exponential form is:

13146 = 2¹ × 3¹ × 7¹ × 313¹

Step-2: Prime Factorization of 13152

Prime factors of 13152 are 2, 3, 137. Prime factorization of 13152 in exponential form is:

13152 = 2⁵ × 3¹ × 137¹

Step-3: Factors of 13146

List of positive integer factors of 13146 that divides 13146 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 313, 626, 939, 1878, 2191, 4382, 6573

Step-4: Factors of 13152

List of positive integer factors of 13152 that divides 13146 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 137, 274, 411, 548, 822, 1096, 1644, 2192, 3288, 4384, 6576

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13146 and 13152. The biggest common factor number is the GCF number.
So the greatest common factor 13146 and 13152 is 6.

Also check out the Least Common Multiple of 13146 and 13152