What is the Greatest Common Factor of 65005 and 65020?

Greatest common factor (GCF) of 65005 and 65020 is 5.

GCF(65005,65020) = 5

We will now calculate the prime factors of 65005 and 65020, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65005 and 65020.

How to find the GCF of 65005 and 65020?

We will first find the prime factorization of 65005 and 65020. After we will calculate the factors of 65005 and 65020 and find the biggest common factor number .

Step-1: Prime Factorization of 65005

Prime factors of 65005 are 5, 13001. Prime factorization of 65005 in exponential form is:

65005 = 5¹ × 13001¹

Step-2: Prime Factorization of 65020

Prime factors of 65020 are 2, 5, 3251. Prime factorization of 65020 in exponential form is:

65020 = 2² × 5¹ × 3251¹

Step-3: Factors of 65005

List of positive integer factors of 65005 that divides 65005 without a remainder.

1, 5, 13001

Step-4: Factors of 65020

List of positive integer factors of 65020 that divides 65005 without a remainder.

1, 2, 4, 5, 10, 20, 3251, 6502, 13004, 16255, 32510

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65005 and 65020. The biggest common factor number is the GCF number.
So the greatest common factor 65005 and 65020 is 5.

Also check out the Least Common Multiple of 65005 and 65020