What is the Greatest Common Factor of 78015 and 78024?

Greatest common factor (GCF) of 78015 and 78024 is 3.

GCF(78015,78024) = 3

We will now calculate the prime factors of 78015 and 78024, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78015 and 78024.

How to find the GCF of 78015 and 78024?

We will first find the prime factorization of 78015 and 78024. After we will calculate the factors of 78015 and 78024 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 78024

Prime factors of 78024 are 2, 3, 3251. Prime factorization of 78024 in exponential form is:

78024 = 2³ × 3¹ × 3251¹

Step-3: Factors of 78015

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

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

Step-4: Factors of 78024

List of positive integer factors of 78024 that divides 78015 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3251, 6502, 9753, 13004, 19506, 26008, 39012

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78015 and 78024. The biggest common factor number is the GCF number.
So the greatest common factor 78015 and 78024 is 3.

Also check out the Least Common Multiple of 78015 and 78024