What is the Greatest Common Factor of 78545 and 78555?

Greatest common factor (GCF) of 78545 and 78555 is 5.

GCF(78545,78555) = 5

We will now calculate the prime factors of 78545 and 78555, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78545 and 78555.

How to find the GCF of 78545 and 78555?

We will first find the prime factorization of 78545 and 78555. After we will calculate the factors of 78545 and 78555 and find the biggest common factor number .

Step-1: Prime Factorization of 78545

Prime factors of 78545 are 5, 23, 683. Prime factorization of 78545 in exponential form is:

78545 = 5¹ × 23¹ × 683¹

Step-2: Prime Factorization of 78555

Prime factors of 78555 are 3, 5, 5237. Prime factorization of 78555 in exponential form is:

78555 = 3¹ × 5¹ × 5237¹

Step-3: Factors of 78545

List of positive integer factors of 78545 that divides 78545 without a remainder.

1, 5, 23, 115, 683, 3415, 15709

Step-4: Factors of 78555

List of positive integer factors of 78555 that divides 78545 without a remainder.

1, 3, 5, 15, 5237, 15711, 26185

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78545 and 78555. The biggest common factor number is the GCF number.
So the greatest common factor 78545 and 78555 is 5.

Also check out the Least Common Multiple of 78545 and 78555