What is the Greatest Common Factor of 78027 and 78033?

Greatest common factor (GCF) of 78027 and 78033 is 3.

GCF(78027,78033) = 3

We will now calculate the prime factors of 78027 and 78033, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78027 and 78033.

How to find the GCF of 78027 and 78033?

We will first find the prime factorization of 78027 and 78033. After we will calculate the factors of 78027 and 78033 and find the biggest common factor number .

Step-1: Prime Factorization of 78027

Prime factors of 78027 are 3, 31, 839. Prime factorization of 78027 in exponential form is:

78027 = 3¹ × 31¹ × 839¹

Step-2: Prime Factorization of 78033

Prime factors of 78033 are 3, 19, 37. Prime factorization of 78033 in exponential form is:

78033 = 3¹ × 19¹ × 37²

Step-3: Factors of 78027

List of positive integer factors of 78027 that divides 78027 without a remainder.

1, 3, 31, 93, 839, 2517, 26009

Step-4: Factors of 78033

List of positive integer factors of 78033 that divides 78027 without a remainder.

1, 3, 19, 37, 57, 111, 703, 1369, 2109, 4107, 26011

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78027 and 78033. The biggest common factor number is the GCF number.
So the greatest common factor 78027 and 78033 is 3.

Also check out the Least Common Multiple of 78027 and 78033