GCF and LCM Calculator Logo

What is the Greatest Common Factor of 13502 and 13514?

Greatest common factor (GCF) of 13502 and 13514 is 2.

GCF(13502,13514) = 2

We will now calculate the prime factors of 13502 and 13514, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13502 and 13514.

GCF Calculator and
and

How to find the GCF of 13502 and 13514?

We will first find the prime factorization of 13502 and 13514. After we will calculate the factors of 13502 and 13514 and find the biggest common factor number .

Step-1: Prime Factorization of 13502

Prime factors of 13502 are 2, 43, 157. Prime factorization of 13502 in exponential form is:

13502 = 21 × 431 × 1571

Step-2: Prime Factorization of 13514

Prime factors of 13514 are 2, 29, 233. Prime factorization of 13514 in exponential form is:

13514 = 21 × 291 × 2331

Step-3: Factors of 13502

List of positive integer factors of 13502 that divides 13502 without a remainder.

1, 2, 43, 86, 157, 314, 6751

Step-4: Factors of 13514

List of positive integer factors of 13514 that divides 13502 without a remainder.

1, 2, 29, 58, 233, 466, 6757

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13502 and 13514. The biggest common factor number is the GCF number.
So the greatest common factor 13502 and 13514 is 2.

Also check out the Least Common Multiple of 13502 and 13514