What is the Greatest Common Factor of 78468 and 78483?

Greatest common factor (GCF) of 78468 and 78483 is 3.

GCF(78468,78483) = 3

We will now calculate the prime factors of 78468 and 78483, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78468 and 78483.

How to find the GCF of 78468 and 78483?

We will first find the prime factorization of 78468 and 78483. After we will calculate the factors of 78468 and 78483 and find the biggest common factor number .

Step-1: Prime Factorization of 78468

Prime factors of 78468 are 2, 3, 13, 503. Prime factorization of 78468 in exponential form is:

78468 = 2² × 3¹ × 13¹ × 503¹

Step-2: Prime Factorization of 78483

Prime factors of 78483 are 3, 26161. Prime factorization of 78483 in exponential form is:

78483 = 3¹ × 26161¹

Step-3: Factors of 78468

List of positive integer factors of 78468 that divides 78468 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 503, 1006, 1509, 2012, 3018, 6036, 6539, 13078, 19617, 26156, 39234

Step-4: Factors of 78483

List of positive integer factors of 78483 that divides 78468 without a remainder.

1, 3, 26161

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78468 and 78483. The biggest common factor number is the GCF number.
So the greatest common factor 78468 and 78483 is 3.

Also check out the Least Common Multiple of 78468 and 78483