What is the Greatest Common Factor of 14130 and 14142?

Greatest common factor (GCF) of 14130 and 14142 is 6.

GCF(14130,14142) = 6

We will now calculate the prime factors of 14130 and 14142, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14130 and 14142.

How to find the GCF of 14130 and 14142?

We will first find the prime factorization of 14130 and 14142. After we will calculate the factors of 14130 and 14142 and find the biggest common factor number .

Step-1: Prime Factorization of 14130

Prime factors of 14130 are 2, 3, 5, 157. Prime factorization of 14130 in exponential form is:

14130 = 2¹ × 3² × 5¹ × 157¹

Step-2: Prime Factorization of 14142

Prime factors of 14142 are 2, 3, 2357. Prime factorization of 14142 in exponential form is:

14142 = 2¹ × 3¹ × 2357¹

Step-3: Factors of 14130

List of positive integer factors of 14130 that divides 14130 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 157, 314, 471, 785, 942, 1413, 1570, 2355, 2826, 4710, 7065

Step-4: Factors of 14142

List of positive integer factors of 14142 that divides 14130 without a remainder.

1, 2, 3, 6, 2357, 4714, 7071

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14130 and 14142. The biggest common factor number is the GCF number.
So the greatest common factor 14130 and 14142 is 6.

Also check out the Least Common Multiple of 14130 and 14142