What is the Greatest Common Factor of 78489 and 78508?

Greatest common factor (GCF) of 78489 and 78508 is 19.

GCF(78489,78508) = 19

We will now calculate the prime factors of 78489 and 78508, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78489 and 78508.

How to find the GCF of 78489 and 78508?

We will first find the prime factorization of 78489 and 78508. After we will calculate the factors of 78489 and 78508 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 78508

Prime factors of 78508 are 2, 19, 1033. Prime factorization of 78508 in exponential form is:

78508 = 2² × 19¹ × 1033¹

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 78508

List of positive integer factors of 78508 that divides 78489 without a remainder.

1, 2, 4, 19, 38, 76, 1033, 2066, 4132, 19627, 39254

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78489 and 78508. The biggest common factor number is the GCF number.
So the greatest common factor 78489 and 78508 is 19.

Also check out the Least Common Multiple of 78489 and 78508