What is the Greatest Common Factor of 13132 and 13146?

Greatest common factor (GCF) of 13132 and 13146 is 14.

GCF(13132,13146) = 14

We will now calculate the prime factors of 13132 and 13146, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13132 and 13146.

How to find the GCF of 13132 and 13146?

We will first find the prime factorization of 13132 and 13146. After we will calculate the factors of 13132 and 13146 and find the biggest common factor number .

Step-1: Prime Factorization of 13132

Prime factors of 13132 are 2, 7, 67. Prime factorization of 13132 in exponential form is:

13132 = 2² × 7² × 67¹

Step-2: 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-3: Factors of 13132

List of positive integer factors of 13132 that divides 13132 without a remainder.

1, 2, 4, 7, 14, 28, 49, 67, 98, 134, 196, 268, 469, 938, 1876, 3283, 6566

Step-4: Factors of 13146

List of positive integer factors of 13146 that divides 13132 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13132 and 13146. The biggest common factor number is the GCF number.
So the greatest common factor 13132 and 13146 is 14.

Also check out the Least Common Multiple of 13132 and 13146