What is the Greatest Common Factor of 13062 and 13076?

Greatest common factor (GCF) of 13062 and 13076 is 14.

GCF(13062,13076) = 14

We will now calculate the prime factors of 13062 and 13076, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13062 and 13076.

How to find the GCF of 13062 and 13076?

We will first find the prime factorization of 13062 and 13076. After we will calculate the factors of 13062 and 13076 and find the biggest common factor number .

Step-1: Prime Factorization of 13062

Prime factors of 13062 are 2, 3, 7, 311. Prime factorization of 13062 in exponential form is:

13062 = 2¹ × 3¹ × 7¹ × 311¹

Step-2: Prime Factorization of 13076

Prime factors of 13076 are 2, 7, 467. Prime factorization of 13076 in exponential form is:

13076 = 2² × 7¹ × 467¹

Step-3: Factors of 13062

List of positive integer factors of 13062 that divides 13062 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 311, 622, 933, 1866, 2177, 4354, 6531

Step-4: Factors of 13076

List of positive integer factors of 13076 that divides 13062 without a remainder.

1, 2, 4, 7, 14, 28, 467, 934, 1868, 3269, 6538

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13062 and 13076. The biggest common factor number is the GCF number.
So the greatest common factor 13062 and 13076 is 14.

Also check out the Least Common Multiple of 13062 and 13076