What is the Greatest Common Factor of 51008 and 51014?

Greatest common factor (GCF) of 51008 and 51014 is 2.

GCF(51008,51014) = 2

We will now calculate the prime factors of 51008 and 51014, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51008 and 51014.

How to find the GCF of 51008 and 51014?

We will first find the prime factorization of 51008 and 51014. After we will calculate the factors of 51008 and 51014 and find the biggest common factor number .

Step-1: Prime Factorization of 51008

Prime factors of 51008 are 2, 797. Prime factorization of 51008 in exponential form is:

51008 = 2⁶ × 797¹

Step-2: Prime Factorization of 51014

Prime factors of 51014 are 2, 23, 1109. Prime factorization of 51014 in exponential form is:

51014 = 2¹ × 23¹ × 1109¹

Step-3: Factors of 51008

List of positive integer factors of 51008 that divides 51008 without a remainder.

1, 2, 4, 8, 16, 32, 64, 797, 1594, 3188, 6376, 12752, 25504

Step-4: Factors of 51014

List of positive integer factors of 51014 that divides 51008 without a remainder.

1, 2, 23, 46, 1109, 2218, 25507

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51008 and 51014. The biggest common factor number is the GCF number.
So the greatest common factor 51008 and 51014 is 2.

Also check out the Least Common Multiple of 51008 and 51014