What is the Greatest Common Factor of 78309 and 78324?

Greatest common factor (GCF) of 78309 and 78324 is 3.

GCF(78309,78324) = 3

We will now calculate the prime factors of 78309 and 78324, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78309 and 78324.

How to find the GCF of 78309 and 78324?

We will first find the prime factorization of 78309 and 78324. After we will calculate the factors of 78309 and 78324 and find the biggest common factor number .

Step-1: Prime Factorization of 78309

Prime factors of 78309 are 3, 7, 11, 113. Prime factorization of 78309 in exponential form is:

78309 = 3² × 7¹ × 11¹ × 113¹

Step-2: Prime Factorization of 78324

Prime factors of 78324 are 2, 3, 61, 107. Prime factorization of 78324 in exponential form is:

78324 = 2² × 3¹ × 61¹ × 107¹

Step-3: Factors of 78309

List of positive integer factors of 78309 that divides 78309 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 113, 231, 339, 693, 791, 1017, 1243, 2373, 3729, 7119, 8701, 11187, 26103

Step-4: Factors of 78324

List of positive integer factors of 78324 that divides 78309 without a remainder.

1, 2, 3, 4, 6, 12, 61, 107, 122, 183, 214, 244, 321, 366, 428, 642, 732, 1284, 6527, 13054, 19581, 26108, 39162

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78309 and 78324. The biggest common factor number is the GCF number.
So the greatest common factor 78309 and 78324 is 3.

Also check out the Least Common Multiple of 78309 and 78324