What is the Greatest Common Factor of 78099 and 78108?

Greatest common factor (GCF) of 78099 and 78108 is 3.

GCF(78099,78108) = 3

We will now calculate the prime factors of 78099 and 78108, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78099 and 78108.

How to find the GCF of 78099 and 78108?

We will first find the prime factorization of 78099 and 78108. After we will calculate the factors of 78099 and 78108 and find the biggest common factor number .

Step-1: Prime Factorization of 78099

Prime factors of 78099 are 3, 7, 3719. Prime factorization of 78099 in exponential form is:

78099 = 3¹ × 7¹ × 3719¹

Step-2: Prime Factorization of 78108

Prime factors of 78108 are 2, 3, 23, 283. Prime factorization of 78108 in exponential form is:

78108 = 2² × 3¹ × 23¹ × 283¹

Step-3: Factors of 78099

List of positive integer factors of 78099 that divides 78099 without a remainder.

1, 3, 7, 21, 3719, 11157, 26033

Step-4: Factors of 78108

List of positive integer factors of 78108 that divides 78099 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276, 283, 566, 849, 1132, 1698, 3396, 6509, 13018, 19527, 26036, 39054

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78099 and 78108. The biggest common factor number is the GCF number.
So the greatest common factor 78099 and 78108 is 3.

Also check out the Least Common Multiple of 78099 and 78108