What is the Greatest Common Factor of 65009 and 65018?

Greatest common factor (GCF) of 65009 and 65018 is 1.

GCF(65009,65018) = 1

We will now calculate the prime factors of 65009 and 65018, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65009 and 65018.

How to find the GCF of 65009 and 65018?

We will first find the prime factorization of 65009 and 65018. After we will calculate the factors of 65009 and 65018 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 65018

Prime factors of 65018 are 2, 19, 29, 59. Prime factorization of 65018 in exponential form is:

65018 = 2¹ × 19¹ × 29¹ × 59¹

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 65018

List of positive integer factors of 65018 that divides 65009 without a remainder.

1, 2, 19, 29, 38, 58, 59, 118, 551, 1102, 1121, 1711, 2242, 3422, 32509

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65009 and 65018. The biggest common factor number is the GCF number.
So the greatest common factor 65009 and 65018 is 1.

Also check out the Least Common Multiple of 65009 and 65018