What is the Greatest Common Factor of 6014 and 6032?

Greatest common factor (GCF) of 6014 and 6032 is 2.

GCF(6014,6032) = 2

We will now calculate the prime factors of 6014 and 6032, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6014 and 6032.

How to find the GCF of 6014 and 6032?

We will first find the prime factorization of 6014 and 6032. After we will calculate the factors of 6014 and 6032 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 6032

Prime factors of 6032 are 2, 13, 29. Prime factorization of 6032 in exponential form is:

6032 = 2⁴ × 13¹ × 29¹

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 6032

List of positive integer factors of 6032 that divides 6014 without a remainder.

1, 2, 4, 8, 13, 16, 26, 29, 52, 58, 104, 116, 208, 232, 377, 464, 754, 1508, 3016

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6014 and 6032. The biggest common factor number is the GCF number.
So the greatest common factor 6014 and 6032 is 2.

Also check out the Least Common Multiple of 6014 and 6032