What is the Greatest Common Factor of 78330 and 78340?

Greatest common factor (GCF) of 78330 and 78340 is 10.

GCF(78330,78340) = 10

We will now calculate the prime factors of 78330 and 78340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78330 and 78340.

How to find the GCF of 78330 and 78340?

We will first find the prime factorization of 78330 and 78340. After we will calculate the factors of 78330 and 78340 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 78340

Prime factors of 78340 are 2, 5, 3917. Prime factorization of 78340 in exponential form is:

78340 = 2² × 5¹ × 3917¹

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 78340

List of positive integer factors of 78340 that divides 78330 without a remainder.

1, 2, 4, 5, 10, 20, 3917, 7834, 15668, 19585, 39170

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78330 and 78340. The biggest common factor number is the GCF number.
So the greatest common factor 78330 and 78340 is 10.

Also check out the Least Common Multiple of 78330 and 78340