What is the Greatest Common Factor of 78065 and 78075?

Greatest common factor (GCF) of 78065 and 78075 is 5.

GCF(78065,78075) = 5

We will now calculate the prime factors of 78065 and 78075, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78065 and 78075.

How to find the GCF of 78065 and 78075?

We will first find the prime factorization of 78065 and 78075. After we will calculate the factors of 78065 and 78075 and find the biggest common factor number .

Step-1: Prime Factorization of 78065

Prime factors of 78065 are 5, 13, 1201. Prime factorization of 78065 in exponential form is:

78065 = 5¹ × 13¹ × 1201¹

Step-2: Prime Factorization of 78075

Prime factors of 78075 are 3, 5, 347. Prime factorization of 78075 in exponential form is:

78075 = 3² × 5² × 347¹

Step-3: Factors of 78065

List of positive integer factors of 78065 that divides 78065 without a remainder.

1, 5, 13, 65, 1201, 6005, 15613

Step-4: Factors of 78075

List of positive integer factors of 78075 that divides 78065 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225, 347, 1041, 1735, 3123, 5205, 8675, 15615, 26025

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78065 and 78075. The biggest common factor number is the GCF number.
So the greatest common factor 78065 and 78075 is 5.

Also check out the Least Common Multiple of 78065 and 78075