What is the Greatest Common Factor of 78009 and 78015?

Greatest common factor (GCF) of 78009 and 78015 is 3.

GCF(78009,78015) = 3

We will now calculate the prime factors of 78009 and 78015, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78009 and 78015.

How to find the GCF of 78009 and 78015?

We will first find the prime factorization of 78009 and 78015. After we will calculate the factors of 78009 and 78015 and find the biggest common factor number .

Step-1: Prime Factorization of 78009

Prime factors of 78009 are 3, 26003. Prime factorization of 78009 in exponential form is:

78009 = 3¹ × 26003¹

Step-2: Prime Factorization of 78015

Prime factors of 78015 are 3, 5, 7, 743. Prime factorization of 78015 in exponential form is:

78015 = 3¹ × 5¹ × 7¹ × 743¹

Step-3: Factors of 78009

List of positive integer factors of 78009 that divides 78009 without a remainder.

1, 3, 26003

Step-4: Factors of 78015

List of positive integer factors of 78015 that divides 78009 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 743, 2229, 3715, 5201, 11145, 15603, 26005

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78009 and 78015. The biggest common factor number is the GCF number.
So the greatest common factor 78009 and 78015 is 3.

Also check out the Least Common Multiple of 78009 and 78015