What is the Greatest Common Factor of 14674 and 14693?

Greatest common factor (GCF) of 14674 and 14693 is 1.

GCF(14674,14693) = 1

We will now calculate the prime factors of 14674 and 14693, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14674 and 14693.

How to find the GCF of 14674 and 14693?

We will first find the prime factorization of 14674 and 14693. After we will calculate the factors of 14674 and 14693 and find the biggest common factor number .

Step-1: Prime Factorization of 14674

Prime factors of 14674 are 2, 11, 23, 29. Prime factorization of 14674 in exponential form is:

14674 = 2¹ × 11¹ × 23¹ × 29¹

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 14674

List of positive integer factors of 14674 that divides 14674 without a remainder.

1, 2, 11, 22, 23, 29, 46, 58, 253, 319, 506, 638, 667, 1334, 7337

Step-4: Factors of 14693

List of positive integer factors of 14693 that divides 14674 without a remainder.

1, 7, 2099

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14674 and 14693. The biggest common factor number is the GCF number.
So the greatest common factor 14674 and 14693 is 1.

Also check out the Least Common Multiple of 14674 and 14693