What is the Greatest Common Factor of 14261 and 14274?

Greatest common factor (GCF) of 14261 and 14274 is 13.

GCF(14261,14274) = 13

We will now calculate the prime factors of 14261 and 14274, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14261 and 14274.

How to find the GCF of 14261 and 14274?

We will first find the prime factorization of 14261 and 14274. After we will calculate the factors of 14261 and 14274 and find the biggest common factor number .

Step-1: Prime Factorization of 14261

Prime factors of 14261 are 13, 1097. Prime factorization of 14261 in exponential form is:

14261 = 13¹ × 1097¹

Step-2: Prime Factorization of 14274

Prime factors of 14274 are 2, 3, 13, 61. Prime factorization of 14274 in exponential form is:

14274 = 2¹ × 3² × 13¹ × 61¹

Step-3: Factors of 14261

List of positive integer factors of 14261 that divides 14261 without a remainder.

1, 13, 1097

Step-4: Factors of 14274

List of positive integer factors of 14274 that divides 14261 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 61, 78, 117, 122, 183, 234, 366, 549, 793, 1098, 1586, 2379, 4758, 7137

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14261 and 14274. The biggest common factor number is the GCF number.
So the greatest common factor 14261 and 14274 is 13.

Also check out the Least Common Multiple of 14261 and 14274