What is the Greatest Common Factor of 78075 and 78090?

Greatest common factor (GCF) of 78075 and 78090 is 15.

GCF(78075,78090) = 15

We will now calculate the prime factors of 78075 and 78090, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78075 and 78090.

How to find the GCF of 78075 and 78090?

We will first find the prime factorization of 78075 and 78090. After we will calculate the factors of 78075 and 78090 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 78090

Prime factors of 78090 are 2, 3, 5, 19, 137. Prime factorization of 78090 in exponential form is:

78090 = 2¹ × 3¹ × 5¹ × 19¹ × 137¹

Step-3: Factors of 78075

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

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

Step-4: Factors of 78090

List of positive integer factors of 78090 that divides 78075 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 137, 190, 274, 285, 411, 570, 685, 822, 1370, 2055, 2603, 4110, 5206, 7809, 13015, 15618, 26030, 39045

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78075 and 78090. The biggest common factor number is the GCF number.
So the greatest common factor 78075 and 78090 is 15.

Also check out the Least Common Multiple of 78075 and 78090