What is the Greatest Common Factor of 13514 and 13522?

Greatest common factor (GCF) of 13514 and 13522 is 2.

GCF(13514,13522) = 2

We will now calculate the prime factors of 13514 and 13522, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13514 and 13522.

How to find the GCF of 13514 and 13522?

We will first find the prime factorization of 13514 and 13522. After we will calculate the factors of 13514 and 13522 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 13522

Prime factors of 13522 are 2, 6761. Prime factorization of 13522 in exponential form is:

13522 = 2¹ × 6761¹

Step-3: Factors of 13514

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

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

Step-4: Factors of 13522

List of positive integer factors of 13522 that divides 13514 without a remainder.

1, 2, 6761

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13514 and 13522. The biggest common factor number is the GCF number.
So the greatest common factor 13514 and 13522 is 2.

Also check out the Least Common Multiple of 13514 and 13522