What is the Greatest Common Factor of 14164 and 14182?

Greatest common factor (GCF) of 14164 and 14182 is 2.

GCF(14164,14182) = 2

We will now calculate the prime factors of 14164 and 14182, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14164 and 14182.

How to find the GCF of 14164 and 14182?

We will first find the prime factorization of 14164 and 14182. After we will calculate the factors of 14164 and 14182 and find the biggest common factor number .

Step-1: Prime Factorization of 14164

Prime factors of 14164 are 2, 3541. Prime factorization of 14164 in exponential form is:

14164 = 2² × 3541¹

Step-2: Prime Factorization of 14182

Prime factors of 14182 are 2, 7, 1013. Prime factorization of 14182 in exponential form is:

14182 = 2¹ × 7¹ × 1013¹

Step-3: Factors of 14164

List of positive integer factors of 14164 that divides 14164 without a remainder.

1, 2, 4, 3541, 7082

Step-4: Factors of 14182

List of positive integer factors of 14182 that divides 14164 without a remainder.

1, 2, 7, 14, 1013, 2026, 7091

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14164 and 14182. The biggest common factor number is the GCF number.
So the greatest common factor 14164 and 14182 is 2.

Also check out the Least Common Multiple of 14164 and 14182