What is the Greatest Common Factor of 14638 and 14651?

Greatest common factor (GCF) of 14638 and 14651 is 13.

GCF(14638,14651) = 13

We will now calculate the prime factors of 14638 and 14651, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14638 and 14651.

How to find the GCF of 14638 and 14651?

We will first find the prime factorization of 14638 and 14651. After we will calculate the factors of 14638 and 14651 and find the biggest common factor number .

Step-1: Prime Factorization of 14638

Prime factors of 14638 are 2, 13, 563. Prime factorization of 14638 in exponential form is:

14638 = 2¹ × 13¹ × 563¹

Step-2: Prime Factorization of 14651

Prime factors of 14651 are 7, 13, 23. Prime factorization of 14651 in exponential form is:

14651 = 7² × 13¹ × 23¹

Step-3: Factors of 14638

List of positive integer factors of 14638 that divides 14638 without a remainder.

1, 2, 13, 26, 563, 1126, 7319

Step-4: Factors of 14651

List of positive integer factors of 14651 that divides 14638 without a remainder.

1, 7, 13, 23, 49, 91, 161, 299, 637, 1127, 2093

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14638 and 14651. The biggest common factor number is the GCF number.
So the greatest common factor 14638 and 14651 is 13.

Also check out the Least Common Multiple of 14638 and 14651