What is the Greatest Common Factor of 51002 and 51008?

Greatest common factor (GCF) of 51002 and 51008 is 2.

GCF(51002,51008) = 2

We will now calculate the prime factors of 51002 and 51008, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51002 and 51008.

How to find the GCF of 51002 and 51008?

We will first find the prime factorization of 51002 and 51008. After we will calculate the factors of 51002 and 51008 and find the biggest common factor number .

Step-1: Prime Factorization of 51002

Prime factors of 51002 are 2, 7, 3643. Prime factorization of 51002 in exponential form is:

51002 = 2¹ × 7¹ × 3643¹

Step-2: Prime Factorization of 51008

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

51008 = 2⁶ × 797¹

Step-3: Factors of 51002

List of positive integer factors of 51002 that divides 51002 without a remainder.

1, 2, 7, 14, 3643, 7286, 25501

Step-4: Factors of 51008

List of positive integer factors of 51008 that divides 51002 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51002 and 51008. The biggest common factor number is the GCF number.
So the greatest common factor 51002 and 51008 is 2.

Also check out the Least Common Multiple of 51002 and 51008