What is the Greatest Common Factor of 6014 and 6034?

Greatest common factor (GCF) of 6014 and 6034 is 2.

GCF(6014,6034) = 2

We will now calculate the prime factors of 6014 and 6034, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6014 and 6034.

How to find the GCF of 6014 and 6034?

We will first find the prime factorization of 6014 and 6034. After we will calculate the factors of 6014 and 6034 and find the biggest common factor number .

Step-1: Prime Factorization of 6014

Prime factors of 6014 are 2, 31, 97. Prime factorization of 6014 in exponential form is:

6014 = 2¹ × 31¹ × 97¹

Step-2: Prime Factorization of 6034

Prime factors of 6034 are 2, 7, 431. Prime factorization of 6034 in exponential form is:

6034 = 2¹ × 7¹ × 431¹

Step-3: Factors of 6014

List of positive integer factors of 6014 that divides 6014 without a remainder.

1, 2, 31, 62, 97, 194, 3007

Step-4: Factors of 6034

List of positive integer factors of 6034 that divides 6014 without a remainder.

1, 2, 7, 14, 431, 862, 3017

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6014 and 6034. The biggest common factor number is the GCF number.
So the greatest common factor 6014 and 6034 is 2.

Also check out the Least Common Multiple of 6014 and 6034