What is the Greatest Common Factor of 78345 and 78360?

Greatest common factor (GCF) of 78345 and 78360 is 15.

GCF(78345,78360) = 15

We will now calculate the prime factors of 78345 and 78360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78345 and 78360.

How to find the GCF of 78345 and 78360?

We will first find the prime factorization of 78345 and 78360. After we will calculate the factors of 78345 and 78360 and find the biggest common factor number .

Step-1: Prime Factorization of 78345

Prime factors of 78345 are 3, 5, 1741. Prime factorization of 78345 in exponential form is:

78345 = 3² × 5¹ × 1741¹

Step-2: Prime Factorization of 78360

Prime factors of 78360 are 2, 3, 5, 653. Prime factorization of 78360 in exponential form is:

78360 = 2³ × 3¹ × 5¹ × 653¹

Step-3: Factors of 78345

List of positive integer factors of 78345 that divides 78345 without a remainder.

1, 3, 5, 9, 15, 45, 1741, 5223, 8705, 15669, 26115

Step-4: Factors of 78360

List of positive integer factors of 78360 that divides 78345 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 653, 1306, 1959, 2612, 3265, 3918, 5224, 6530, 7836, 9795, 13060, 15672, 19590, 26120, 39180

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78345 and 78360. The biggest common factor number is the GCF number.
So the greatest common factor 78345 and 78360 is 15.

Also check out the Least Common Multiple of 78345 and 78360