What is the Greatest Common Factor of 78072 and 78089?

Greatest common factor (GCF) of 78072 and 78089 is 1.

GCF(78072,78089) = 1

We will now calculate the prime factors of 78072 and 78089, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78072 and 78089.

How to find the GCF of 78072 and 78089?

We will first find the prime factorization of 78072 and 78089. After we will calculate the factors of 78072 and 78089 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 78089

Prime factors of 78089 are 11, 31, 229. Prime factorization of 78089 in exponential form is:

78089 = 11¹ × 31¹ × 229¹

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 78089

List of positive integer factors of 78089 that divides 78072 without a remainder.

1, 11, 31, 229, 341, 2519, 7099

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78072 and 78089. The biggest common factor number is the GCF number.
So the greatest common factor 78072 and 78089 is 1.

Also check out the Least Common Multiple of 78072 and 78089