What is the Greatest Common Factor of 14042 and 14059?

Greatest common factor (GCF) of 14042 and 14059 is 17.

GCF(14042,14059) = 17

We will now calculate the prime factors of 14042 and 14059, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14042 and 14059.

How to find the GCF of 14042 and 14059?

We will first find the prime factorization of 14042 and 14059. After we will calculate the factors of 14042 and 14059 and find the biggest common factor number .

Step-1: Prime Factorization of 14042

Prime factors of 14042 are 2, 7, 17, 59. Prime factorization of 14042 in exponential form is:

14042 = 2¹ × 7¹ × 17¹ × 59¹

Step-2: Prime Factorization of 14059

Prime factors of 14059 are 17, 827. Prime factorization of 14059 in exponential form is:

14059 = 17¹ × 827¹

Step-3: Factors of 14042

List of positive integer factors of 14042 that divides 14042 without a remainder.

1, 2, 7, 14, 17, 34, 59, 118, 119, 238, 413, 826, 1003, 2006, 7021

Step-4: Factors of 14059

List of positive integer factors of 14059 that divides 14042 without a remainder.

1, 17, 827

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14042 and 14059. The biggest common factor number is the GCF number.
So the greatest common factor 14042 and 14059 is 17.

Also check out the Least Common Multiple of 14042 and 14059