What is the Greatest Common Factor of 51004 and 51022?

Greatest common factor (GCF) of 51004 and 51022 is 2.

GCF(51004,51022) = 2

We will now calculate the prime factors of 51004 and 51022, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51004 and 51022.

How to find the GCF of 51004 and 51022?

We will first find the prime factorization of 51004 and 51022. After we will calculate the factors of 51004 and 51022 and find the biggest common factor number .

Step-1: Prime Factorization of 51004

Prime factors of 51004 are 2, 41, 311. Prime factorization of 51004 in exponential form is:

51004 = 2² × 41¹ × 311¹

Step-2: Prime Factorization of 51022

Prime factors of 51022 are 2, 97, 263. Prime factorization of 51022 in exponential form is:

51022 = 2¹ × 97¹ × 263¹

Step-3: Factors of 51004

List of positive integer factors of 51004 that divides 51004 without a remainder.

1, 2, 4, 41, 82, 164, 311, 622, 1244, 12751, 25502

Step-4: Factors of 51022

List of positive integer factors of 51022 that divides 51004 without a remainder.

1, 2, 97, 194, 263, 526, 25511

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51004 and 51022. The biggest common factor number is the GCF number.
So the greatest common factor 51004 and 51022 is 2.

Also check out the Least Common Multiple of 51004 and 51022