What is the Greatest Common Factor of 78469 and 78489?

Greatest common factor (GCF) of 78469 and 78489 is 1.

GCF(78469,78489) = 1

We will now calculate the prime factors of 78469 and 78489, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78469 and 78489.

How to find the GCF of 78469 and 78489?

We will first find the prime factorization of 78469 and 78489. After we will calculate the factors of 78469 and 78489 and find the biggest common factor number .

Step-1: Prime Factorization of 78469

Prime factors of 78469 are 131, 599. Prime factorization of 78469 in exponential form is:

78469 = 131¹ × 599¹

Step-2: 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-3: Factors of 78469

List of positive integer factors of 78469 that divides 78469 without a remainder.

1, 131, 599

Step-4: Factors of 78489

List of positive integer factors of 78489 that divides 78469 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78469 and 78489. The biggest common factor number is the GCF number.
So the greatest common factor 78469 and 78489 is 1.

Also check out the Least Common Multiple of 78469 and 78489