What is the Greatest Common Factor of 14514 and 14522?

Greatest common factor (GCF) of 14514 and 14522 is 2.

GCF(14514,14522) = 2

We will now calculate the prime factors of 14514 and 14522, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14514 and 14522.

How to find the GCF of 14514 and 14522?

We will first find the prime factorization of 14514 and 14522. After we will calculate the factors of 14514 and 14522 and find the biggest common factor number .

Step-1: Prime Factorization of 14514

Prime factors of 14514 are 2, 3, 41, 59. Prime factorization of 14514 in exponential form is:

14514 = 2¹ × 3¹ × 41¹ × 59¹

Step-2: Prime Factorization of 14522

Prime factors of 14522 are 2, 53, 137. Prime factorization of 14522 in exponential form is:

14522 = 2¹ × 53¹ × 137¹

Step-3: Factors of 14514

List of positive integer factors of 14514 that divides 14514 without a remainder.

1, 2, 3, 6, 41, 59, 82, 118, 123, 177, 246, 354, 2419, 4838, 7257

Step-4: Factors of 14522

List of positive integer factors of 14522 that divides 14514 without a remainder.

1, 2, 53, 106, 137, 274, 7261

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14514 and 14522. The biggest common factor number is the GCF number.
So the greatest common factor 14514 and 14522 is 2.

Also check out the Least Common Multiple of 14514 and 14522