What is the Greatest Common Factor of 14705 and 14718?

Greatest common factor (GCF) of 14705 and 14718 is 1.

GCF(14705,14718) = 1

We will now calculate the prime factors of 14705 and 14718, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14705 and 14718.

How to find the GCF of 14705 and 14718?

We will first find the prime factorization of 14705 and 14718. After we will calculate the factors of 14705 and 14718 and find the biggest common factor number .

Step-1: Prime Factorization of 14705

Prime factors of 14705 are 5, 17, 173. Prime factorization of 14705 in exponential form is:

14705 = 5¹ × 17¹ × 173¹

Step-2: Prime Factorization of 14718

Prime factors of 14718 are 2, 3, 11, 223. Prime factorization of 14718 in exponential form is:

14718 = 2¹ × 3¹ × 11¹ × 223¹

Step-3: Factors of 14705

List of positive integer factors of 14705 that divides 14705 without a remainder.

1, 5, 17, 85, 173, 865, 2941

Step-4: Factors of 14718

List of positive integer factors of 14718 that divides 14705 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 223, 446, 669, 1338, 2453, 4906, 7359

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14705 and 14718. The biggest common factor number is the GCF number.
So the greatest common factor 14705 and 14718 is 1.

Also check out the Least Common Multiple of 14705 and 14718