What is the Greatest Common Factor of 78561 and 78567?

Greatest common factor (GCF) of 78561 and 78567 is 3.

GCF(78561,78567) = 3

We will now calculate the prime factors of 78561 and 78567, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78561 and 78567.

How to find the GCF of 78561 and 78567?

We will first find the prime factorization of 78561 and 78567. After we will calculate the factors of 78561 and 78567 and find the biggest common factor number .

Step-1: Prime Factorization of 78561

Prime factors of 78561 are 3, 7, 29, 43. Prime factorization of 78561 in exponential form is:

78561 = 3² × 7¹ × 29¹ × 43¹

Step-2: Prime Factorization of 78567

Prime factors of 78567 are 3, 26189. Prime factorization of 78567 in exponential form is:

78567 = 3¹ × 26189¹

Step-3: Factors of 78561

List of positive integer factors of 78561 that divides 78561 without a remainder.

1, 3, 7, 9, 21, 29, 43, 63, 87, 129, 203, 261, 301, 387, 609, 903, 1247, 1827, 2709, 3741, 8729, 11223, 26187

Step-4: Factors of 78567

List of positive integer factors of 78567 that divides 78561 without a remainder.

1, 3, 26189

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78561 and 78567. The biggest common factor number is the GCF number.
So the greatest common factor 78561 and 78567 is 3.

Also check out the Least Common Multiple of 78561 and 78567