What is the Greatest Common Factor of 78324 and 78330?

Greatest common factor (GCF) of 78324 and 78330 is 6.

GCF(78324,78330) = 6

We will now calculate the prime factors of 78324 and 78330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78324 and 78330.

How to find the GCF of 78324 and 78330?

We will first find the prime factorization of 78324 and 78330. After we will calculate the factors of 78324 and 78330 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 78330

Prime factors of 78330 are 2, 3, 5, 7, 373. Prime factorization of 78330 in exponential form is:

78330 = 2¹ × 3¹ × 5¹ × 7¹ × 373¹

Step-3: Factors of 78324

List of positive integer factors of 78324 that divides 78324 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

Step-4: Factors of 78330

List of positive integer factors of 78330 that divides 78324 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210, 373, 746, 1119, 1865, 2238, 2611, 3730, 5222, 5595, 7833, 11190, 13055, 15666, 26110, 39165

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78324 and 78330. The biggest common factor number is the GCF number.
So the greatest common factor 78324 and 78330 is 6.

Also check out the Least Common Multiple of 78324 and 78330