What is the Greatest Common Factor of 65009 and 65020?

Greatest common factor (GCF) of 65009 and 65020 is 1.

GCF(65009,65020) = 1

We will now calculate the prime factors of 65009 and 65020, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65009 and 65020.

How to find the GCF of 65009 and 65020?

We will first find the prime factorization of 65009 and 65020. After we will calculate the factors of 65009 and 65020 and find the biggest common factor number .

Step-1: Prime Factorization of 65009

Prime factors of 65009 are 7, 37, 251. Prime factorization of 65009 in exponential form is:

65009 = 7¹ × 37¹ × 251¹

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 65009

List of positive integer factors of 65009 that divides 65009 without a remainder.

1, 7, 37, 251, 259, 1757, 9287

Step-4: Factors of 65020

List of positive integer factors of 65020 that divides 65009 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 65009 and 65020. The biggest common factor number is the GCF number.
So the greatest common factor 65009 and 65020 is 1.

Also check out the Least Common Multiple of 65009 and 65020