What is the Greatest Common Factor of 78489 and 78497?

Greatest common factor (GCF) of 78489 and 78497 is 1.

GCF(78489,78497) = 1

We will now calculate the prime factors of 78489 and 78497, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78489 and 78497.

How to find the GCF of 78489 and 78497?

We will first find the prime factorization of 78489 and 78497. After we will calculate the factors of 78489 and 78497 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 78497

Prime factors of 78497 are 78497. Prime factorization of 78497 in exponential form is:

78497 = 78497¹

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 78497

List of positive integer factors of 78497 that divides 78489 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78489 and 78497. The biggest common factor number is the GCF number.
So the greatest common factor 78489 and 78497 is 1.

Also check out the Least Common Multiple of 78489 and 78497