What is the Greatest Common Factor of 14154 and 14172?

Greatest common factor (GCF) of 14154 and 14172 is 6.

GCF(14154,14172) = 6

We will now calculate the prime factors of 14154 and 14172, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14154 and 14172.

How to find the GCF of 14154 and 14172?

We will first find the prime factorization of 14154 and 14172. After we will calculate the factors of 14154 and 14172 and find the biggest common factor number .

Step-1: Prime Factorization of 14154

Prime factors of 14154 are 2, 3, 7, 337. Prime factorization of 14154 in exponential form is:

14154 = 2¹ × 3¹ × 7¹ × 337¹

Step-2: Prime Factorization of 14172

Prime factors of 14172 are 2, 3, 1181. Prime factorization of 14172 in exponential form is:

14172 = 2² × 3¹ × 1181¹

Step-3: Factors of 14154

List of positive integer factors of 14154 that divides 14154 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 337, 674, 1011, 2022, 2359, 4718, 7077

Step-4: Factors of 14172

List of positive integer factors of 14172 that divides 14154 without a remainder.

1, 2, 3, 4, 6, 12, 1181, 2362, 3543, 4724, 7086

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14154 and 14172. The biggest common factor number is the GCF number.
So the greatest common factor 14154 and 14172 is 6.

Also check out the Least Common Multiple of 14154 and 14172