What is the Greatest Common Factor of 78489 and 78509?

Greatest common factor (GCF) of 78489 and 78509 is 1.

GCF(78489,78509) = 1

We will now calculate the prime factors of 78489 and 78509, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78489 and 78509.

How to find the GCF of 78489 and 78509?

We will first find the prime factorization of 78489 and 78509. After we will calculate the factors of 78489 and 78509 and find the biggest common factor number .

Step-1: Prime Factorization of 78489

Prime factors of 78489 are 3, 17, 19. Prime factorization of 78489 in exponential form is:

78489 = 3⁵ × 17¹ × 19¹

Step-2: Prime Factorization of 78509

Prime factors of 78509 are 78509. Prime factorization of 78509 in exponential form is:

78509 = 78509¹

Step-3: Factors of 78489

List of positive integer factors of 78489 that divides 78489 without a remainder.

1, 3, 9, 17, 19, 27, 51, 57, 81, 153, 171, 243, 323, 459, 513, 969, 1377, 1539, 2907, 4131, 4617, 8721, 26163

Step-4: Factors of 78509

List of positive integer factors of 78509 that divides 78489 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78489 and 78509. The biggest common factor number is the GCF number.
So the greatest common factor 78489 and 78509 is 1.

Also check out the Least Common Multiple of 78489 and 78509