What is the Greatest Common Factor of 78360 and 78377?

Greatest common factor (GCF) of 78360 and 78377 is 1.

GCF(78360,78377) = 1

We will now calculate the prime factors of 78360 and 78377, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78360 and 78377.

How to find the GCF of 78360 and 78377?

We will first find the prime factorization of 78360 and 78377. After we will calculate the factors of 78360 and 78377 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 78377

Prime factors of 78377 are 13, 6029. Prime factorization of 78377 in exponential form is:

78377 = 13¹ × 6029¹

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 78377

List of positive integer factors of 78377 that divides 78360 without a remainder.

1, 13, 6029

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78360 and 78377. The biggest common factor number is the GCF number.
So the greatest common factor 78360 and 78377 is 1.

Also check out the Least Common Multiple of 78360 and 78377