What is the Greatest Common Factor of 78015 and 78020?

Greatest common factor (GCF) of 78015 and 78020 is 5.

GCF(78015,78020) = 5

We will now calculate the prime factors of 78015 and 78020, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78015 and 78020.

How to find the GCF of 78015 and 78020?

We will first find the prime factorization of 78015 and 78020. After we will calculate the factors of 78015 and 78020 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 78020

Prime factors of 78020 are 2, 5, 47, 83. Prime factorization of 78020 in exponential form is:

78020 = 2² × 5¹ × 47¹ × 83¹

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 78020

List of positive integer factors of 78020 that divides 78015 without a remainder.

1, 2, 4, 5, 10, 20, 47, 83, 94, 166, 188, 235, 332, 415, 470, 830, 940, 1660, 3901, 7802, 15604, 19505, 39010

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78015 and 78020. The biggest common factor number is the GCF number.
So the greatest common factor 78015 and 78020 is 5.

Also check out the Least Common Multiple of 78015 and 78020