What is the Greatest Common Factor of 78360 and 78365?

Greatest common factor (GCF) of 78360 and 78365 is 5.

GCF(78360,78365) = 5

We will now calculate the prime factors of 78360 and 78365, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78360 and 78365.

How to find the GCF of 78360 and 78365?

We will first find the prime factorization of 78360 and 78365. After we will calculate the factors of 78360 and 78365 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 78365

Prime factors of 78365 are 5, 7, 2239. Prime factorization of 78365 in exponential form is:

78365 = 5¹ × 7¹ × 2239¹

Step-3: Factors of 78360

List of positive integer factors of 78360 that divides 78360 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

Step-4: Factors of 78365

List of positive integer factors of 78365 that divides 78360 without a remainder.

1, 5, 7, 35, 2239, 11195, 15673

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78360 and 78365. The biggest common factor number is the GCF number.
So the greatest common factor 78360 and 78365 is 5.

Also check out the Least Common Multiple of 78360 and 78365