What is the Greatest Common Factor of 78105 and 78125?

Greatest common factor (GCF) of 78105 and 78125 is 5.

GCF(78105,78125) = 5

We will now calculate the prime factors of 78105 and 78125, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78105 and 78125.

How to find the GCF of 78105 and 78125?

We will first find the prime factorization of 78105 and 78125. After we will calculate the factors of 78105 and 78125 and find the biggest common factor number .

Step-1: Prime Factorization of 78105

Prime factors of 78105 are 3, 5, 41, 127. Prime factorization of 78105 in exponential form is:

78105 = 3¹ × 5¹ × 41¹ × 127¹

Step-2: Prime Factorization of 78125

Prime factors of 78125 are 5. Prime factorization of 78125 in exponential form is:

78125 = 5⁷

Step-3: Factors of 78105

List of positive integer factors of 78105 that divides 78105 without a remainder.

1, 3, 5, 15, 41, 123, 127, 205, 381, 615, 635, 1905, 5207, 15621, 26035

Step-4: Factors of 78125

List of positive integer factors of 78125 that divides 78105 without a remainder.

1, 5, 25, 125, 625, 3125, 15625

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78105 and 78125. The biggest common factor number is the GCF number.
So the greatest common factor 78105 and 78125 is 5.

Also check out the Least Common Multiple of 78105 and 78125