What is the Greatest Common Factor of 14035 and 14042?

Greatest common factor (GCF) of 14035 and 14042 is 7.

GCF(14035,14042) = 7

We will now calculate the prime factors of 14035 and 14042, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14035 and 14042.

How to find the GCF of 14035 and 14042?

We will first find the prime factorization of 14035 and 14042. After we will calculate the factors of 14035 and 14042 and find the biggest common factor number .

Step-1: Prime Factorization of 14035

Prime factors of 14035 are 5, 7, 401. Prime factorization of 14035 in exponential form is:

14035 = 5¹ × 7¹ × 401¹

Step-2: 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-3: Factors of 14035

List of positive integer factors of 14035 that divides 14035 without a remainder.

1, 5, 7, 35, 401, 2005, 2807

Step-4: Factors of 14042

List of positive integer factors of 14042 that divides 14035 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14035 and 14042. The biggest common factor number is the GCF number.
So the greatest common factor 14035 and 14042 is 7.

Also check out the Least Common Multiple of 14035 and 14042