What is the Greatest Common Factor of 6016 and 6034?

Greatest common factor (GCF) of 6016 and 6034 is 2.

GCF(6016,6034) = 2

We will now calculate the prime factors of 6016 and 6034, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6016 and 6034.

How to find the GCF of 6016 and 6034?

We will first find the prime factorization of 6016 and 6034. After we will calculate the factors of 6016 and 6034 and find the biggest common factor number .

Step-1: Prime Factorization of 6016

Prime factors of 6016 are 2, 47. Prime factorization of 6016 in exponential form is:

6016 = 2⁷ × 47¹

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 6016

List of positive integer factors of 6016 that divides 6016 without a remainder.

1, 2, 4, 8, 16, 32, 47, 64, 94, 128, 188, 376, 752, 1504, 3008

Step-4: Factors of 6034

List of positive integer factors of 6034 that divides 6016 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6016 and 6034. The biggest common factor number is the GCF number.
So the greatest common factor 6016 and 6034 is 2.

Also check out the Least Common Multiple of 6016 and 6034