What is the Greatest Common Factor of 78324 and 78341?

Greatest common factor (GCF) of 78324 and 78341 is 1.

GCF(78324,78341) = 1

We will now calculate the prime factors of 78324 and 78341, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78324 and 78341.

How to find the GCF of 78324 and 78341?

We will first find the prime factorization of 78324 and 78341. After we will calculate the factors of 78324 and 78341 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 78341

Prime factors of 78341 are 78341. Prime factorization of 78341 in exponential form is:

78341 = 78341¹

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 78341

List of positive integer factors of 78341 that divides 78324 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78324 and 78341. The biggest common factor number is the GCF number.
So the greatest common factor 78324 and 78341 is 1.

Also check out the Least Common Multiple of 78324 and 78341