What is the Greatest Common Factor of 78360 and 78380?

Greatest common factor (GCF) of 78360 and 78380 is 20.

GCF(78360,78380) = 20

We will now calculate the prime factors of 78360 and 78380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78360 and 78380.

How to find the GCF of 78360 and 78380?

We will first find the prime factorization of 78360 and 78380. After we will calculate the factors of 78360 and 78380 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 78380

Prime factors of 78380 are 2, 5, 3919. Prime factorization of 78380 in exponential form is:

78380 = 2² × 5¹ × 3919¹

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 78380

List of positive integer factors of 78380 that divides 78360 without a remainder.

1, 2, 4, 5, 10, 20, 3919, 7838, 15676, 19595, 39190

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78360 and 78380. The biggest common factor number is the GCF number.
So the greatest common factor 78360 and 78380 is 20.

Also check out the Least Common Multiple of 78360 and 78380