What is the Greatest Common Factor of 14142 and 14160?

Greatest common factor (GCF) of 14142 and 14160 is 6.

GCF(14142,14160) = 6

We will now calculate the prime factors of 14142 and 14160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14142 and 14160.

How to find the GCF of 14142 and 14160?

We will first find the prime factorization of 14142 and 14160. After we will calculate the factors of 14142 and 14160 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 14160

Prime factors of 14160 are 2, 3, 5, 59. Prime factorization of 14160 in exponential form is:

14160 = 2⁴ × 3¹ × 5¹ × 59¹

Step-3: Factors of 14142

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

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

Step-4: Factors of 14160

List of positive integer factors of 14160 that divides 14142 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 59, 60, 80, 118, 120, 177, 236, 240, 295, 354, 472, 590, 708, 885, 944, 1180, 1416, 1770, 2360, 2832, 3540, 4720, 7080

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14142 and 14160. The biggest common factor number is the GCF number.
So the greatest common factor 14142 and 14160 is 6.

Also check out the Least Common Multiple of 14142 and 14160