What is the Greatest Common Factor of 51005 and 51020?

Greatest common factor (GCF) of 51005 and 51020 is 5.

GCF(51005,51020) = 5

We will now calculate the prime factors of 51005 and 51020, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51005 and 51020.

How to find the GCF of 51005 and 51020?

We will first find the prime factorization of 51005 and 51020. After we will calculate the factors of 51005 and 51020 and find the biggest common factor number .

Step-1: Prime Factorization of 51005

Prime factors of 51005 are 5, 101. Prime factorization of 51005 in exponential form is:

51005 = 5¹ × 101²

Step-2: Prime Factorization of 51020

Prime factors of 51020 are 2, 5, 2551. Prime factorization of 51020 in exponential form is:

51020 = 2² × 5¹ × 2551¹

Step-3: Factors of 51005

List of positive integer factors of 51005 that divides 51005 without a remainder.

1, 5, 101, 505, 10201

Step-4: Factors of 51020

List of positive integer factors of 51020 that divides 51005 without a remainder.

1, 2, 4, 5, 10, 20, 2551, 5102, 10204, 12755, 25510

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51005 and 51020. The biggest common factor number is the GCF number.
So the greatest common factor 51005 and 51020 is 5.

Also check out the Least Common Multiple of 51005 and 51020