What is the Greatest Common Factor of 78330 and 78341?

Greatest common factor (GCF) of 78330 and 78341 is 1.

GCF(78330,78341) = 1

We will now calculate the prime factors of 78330 and 78341, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78330 and 78341.

How to find the GCF of 78330 and 78341?

We will first find the prime factorization of 78330 and 78341. After we will calculate the factors of 78330 and 78341 and find the biggest common factor number .

Step-1: 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-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 78330

List of positive integer factors of 78330 that divides 78330 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

Step-4: Factors of 78341

List of positive integer factors of 78341 that divides 78330 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78330 and 78341. The biggest common factor number is the GCF number.
So the greatest common factor 78330 and 78341 is 1.

Also check out the Least Common Multiple of 78330 and 78341