What is the Greatest Common Factor of 65009 and 65021?

Greatest common factor (GCF) of 65009 and 65021 is 1.

GCF(65009,65021) = 1

We will now calculate the prime factors of 65009 and 65021, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65009 and 65021.

How to find the GCF of 65009 and 65021?

We will first find the prime factorization of 65009 and 65021. After we will calculate the factors of 65009 and 65021 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 65021

Prime factors of 65021 are 11, 23, 257. Prime factorization of 65021 in exponential form is:

65021 = 11¹ × 23¹ × 257¹

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 65021

List of positive integer factors of 65021 that divides 65009 without a remainder.

1, 11, 23, 253, 257, 2827, 5911

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65009 and 65021. The biggest common factor number is the GCF number.
So the greatest common factor 65009 and 65021 is 1.

Also check out the Least Common Multiple of 65009 and 65021