What is the Greatest Common Factor of 14679 and 14693?

Greatest common factor (GCF) of 14679 and 14693 is 7.

GCF(14679,14693) = 7

We will now calculate the prime factors of 14679 and 14693, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14679 and 14693.

How to find the GCF of 14679 and 14693?

We will first find the prime factorization of 14679 and 14693. After we will calculate the factors of 14679 and 14693 and find the biggest common factor number .

Step-1: Prime Factorization of 14679

Prime factors of 14679 are 3, 7, 233. Prime factorization of 14679 in exponential form is:

14679 = 3² × 7¹ × 233¹

Step-2: Prime Factorization of 14693

Prime factors of 14693 are 7, 2099. Prime factorization of 14693 in exponential form is:

14693 = 7¹ × 2099¹

Step-3: Factors of 14679

List of positive integer factors of 14679 that divides 14679 without a remainder.

1, 3, 7, 9, 21, 63, 233, 699, 1631, 2097, 4893

Step-4: Factors of 14693

List of positive integer factors of 14693 that divides 14679 without a remainder.

1, 7, 2099

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14679 and 14693. The biggest common factor number is the GCF number.
So the greatest common factor 14679 and 14693 is 7.

Also check out the Least Common Multiple of 14679 and 14693