What is the Greatest Common Factor of 14047 and 14058?

Greatest common factor (GCF) of 14047 and 14058 is 11.

GCF(14047,14058) = 11

We will now calculate the prime factors of 14047 and 14058, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14047 and 14058.

How to find the GCF of 14047 and 14058?

We will first find the prime factorization of 14047 and 14058. After we will calculate the factors of 14047 and 14058 and find the biggest common factor number .

Step-1: Prime Factorization of 14047

Prime factors of 14047 are 11, 1277. Prime factorization of 14047 in exponential form is:

14047 = 11¹ × 1277¹

Step-2: Prime Factorization of 14058

Prime factors of 14058 are 2, 3, 11, 71. Prime factorization of 14058 in exponential form is:

14058 = 2¹ × 3² × 11¹ × 71¹

Step-3: Factors of 14047

List of positive integer factors of 14047 that divides 14047 without a remainder.

1, 11, 1277

Step-4: Factors of 14058

List of positive integer factors of 14058 that divides 14047 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 71, 99, 142, 198, 213, 426, 639, 781, 1278, 1562, 2343, 4686, 7029

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14047 and 14058. The biggest common factor number is the GCF number.
So the greatest common factor 14047 and 14058 is 11.

Also check out the Least Common Multiple of 14047 and 14058