What is the Greatest Common Factor of 78060 and 78075?

Greatest common factor (GCF) of 78060 and 78075 is 15.

GCF(78060,78075) = 15

We will now calculate the prime factors of 78060 and 78075, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78060 and 78075.

How to find the GCF of 78060 and 78075?

We will first find the prime factorization of 78060 and 78075. After we will calculate the factors of 78060 and 78075 and find the biggest common factor number .

Step-1: Prime Factorization of 78060

Prime factors of 78060 are 2, 3, 5, 1301. Prime factorization of 78060 in exponential form is:

78060 = 2² × 3¹ × 5¹ × 1301¹

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 78060

List of positive integer factors of 78060 that divides 78060 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1301, 2602, 3903, 5204, 6505, 7806, 13010, 15612, 19515, 26020, 39030

Step-4: Factors of 78075

List of positive integer factors of 78075 that divides 78060 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 78060 and 78075. The biggest common factor number is the GCF number.
So the greatest common factor 78060 and 78075 is 15.

Also check out the Least Common Multiple of 78060 and 78075