What is the Greatest Common Factor of 14651 and 14658?

Greatest common factor (GCF) of 14651 and 14658 is 7.

GCF(14651,14658) = 7

We will now calculate the prime factors of 14651 and 14658, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14651 and 14658.

How to find the GCF of 14651 and 14658?

We will first find the prime factorization of 14651 and 14658. After we will calculate the factors of 14651 and 14658 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 14658

Prime factors of 14658 are 2, 3, 7, 349. Prime factorization of 14658 in exponential form is:

14658 = 2¹ × 3¹ × 7¹ × 349¹

Step-3: Factors of 14651

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

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

Step-4: Factors of 14658

List of positive integer factors of 14658 that divides 14651 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 349, 698, 1047, 2094, 2443, 4886, 7329

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14651 and 14658. The biggest common factor number is the GCF number.
So the greatest common factor 14651 and 14658 is 7.

Also check out the Least Common Multiple of 14651 and 14658