What is the Greatest Common Factor of 78489 and 78506?

Greatest common factor (GCF) of 78489 and 78506 is 17.

GCF(78489,78506) = 17

We will now calculate the prime factors of 78489 and 78506, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78489 and 78506.

How to find the GCF of 78489 and 78506?

We will first find the prime factorization of 78489 and 78506. After we will calculate the factors of 78489 and 78506 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 78506

Prime factors of 78506 are 2, 17, 2309. Prime factorization of 78506 in exponential form is:

78506 = 2¹ × 17¹ × 2309¹

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 78506

List of positive integer factors of 78506 that divides 78489 without a remainder.

1, 2, 17, 34, 2309, 4618, 39253

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78489 and 78506. The biggest common factor number is the GCF number.
So the greatest common factor 78489 and 78506 is 17.

Also check out the Least Common Multiple of 78489 and 78506