What is the Greatest Common Factor of 14112 and 14130?

Greatest common factor (GCF) of 14112 and 14130 is 18.

GCF(14112,14130) = 18

We will now calculate the prime factors of 14112 and 14130, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14112 and 14130.

How to find the GCF of 14112 and 14130?

We will first find the prime factorization of 14112 and 14130. After we will calculate the factors of 14112 and 14130 and find the biggest common factor number .

Step-1: Prime Factorization of 14112

Prime factors of 14112 are 2, 3, 7. Prime factorization of 14112 in exponential form is:

14112 = 2⁵ × 3² × 7²

Step-2: 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-3: Factors of 14112

List of positive integer factors of 14112 that divides 14112 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 32, 36, 42, 48, 49, 56, 63, 72, 84, 96, 98, 112, 126, 144, 147, 168, 196, 224, 252, 288, 294, 336, 392, 441, 504, 588, 672, 784, 882, 1008, 1176, 1568, 1764, 2016, 2352, 3528, 4704, 7056

Step-4: Factors of 14130

List of positive integer factors of 14130 that divides 14112 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14112 and 14130. The biggest common factor number is the GCF number.
So the greatest common factor 14112 and 14130 is 18.

Also check out the Least Common Multiple of 14112 and 14130