What is the Greatest Common Factor of 78072 and 78087?

Greatest common factor (GCF) of 78072 and 78087 is 3.

GCF(78072,78087) = 3

We will now calculate the prime factors of 78072 and 78087, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78072 and 78087.

How to find the GCF of 78072 and 78087?

We will first find the prime factorization of 78072 and 78087. After we will calculate the factors of 78072 and 78087 and find the biggest common factor number .

Step-1: Prime Factorization of 78072

Prime factors of 78072 are 2, 3, 3253. Prime factorization of 78072 in exponential form is:

78072 = 2³ × 3¹ × 3253¹

Step-2: Prime Factorization of 78087

Prime factors of 78087 are 3, 26029. Prime factorization of 78087 in exponential form is:

78087 = 3¹ × 26029¹

Step-3: Factors of 78072

List of positive integer factors of 78072 that divides 78072 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3253, 6506, 9759, 13012, 19518, 26024, 39036

Step-4: Factors of 78087

List of positive integer factors of 78087 that divides 78072 without a remainder.

1, 3, 26029

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78072 and 78087. The biggest common factor number is the GCF number.
So the greatest common factor 78072 and 78087 is 3.

Also check out the Least Common Multiple of 78072 and 78087