What is the Greatest Common Factor of 78310 and 78324?

Greatest common factor (GCF) of 78310 and 78324 is 2.

GCF(78310,78324) = 2

We will now calculate the prime factors of 78310 and 78324, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78310 and 78324.

How to find the GCF of 78310 and 78324?

We will first find the prime factorization of 78310 and 78324. After we will calculate the factors of 78310 and 78324 and find the biggest common factor number .

Step-1: Prime Factorization of 78310

Prime factors of 78310 are 2, 5, 41, 191. Prime factorization of 78310 in exponential form is:

78310 = 2¹ × 5¹ × 41¹ × 191¹

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 78310

List of positive integer factors of 78310 that divides 78310 without a remainder.

1, 2, 5, 10, 41, 82, 191, 205, 382, 410, 955, 1910, 7831, 15662, 39155

Step-4: Factors of 78324

List of positive integer factors of 78324 that divides 78310 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 78310 and 78324. The biggest common factor number is the GCF number.
So the greatest common factor 78310 and 78324 is 2.

Also check out the Least Common Multiple of 78310 and 78324