What is the Greatest Common Factor of 7074 and 7089?

Greatest common factor (GCF) of 7074 and 7089 is 3.

GCF(7074,7089) = 3

We will now calculate the prime factors of 7074 and 7089, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7074 and 7089.

How to find the GCF of 7074 and 7089?

We will first find the prime factorization of 7074 and 7089. After we will calculate the factors of 7074 and 7089 and find the biggest common factor number .

Step-1: Prime Factorization of 7074

Prime factors of 7074 are 2, 3, 131. Prime factorization of 7074 in exponential form is:

7074 = 2¹ × 3³ × 131¹

Step-2: Prime Factorization of 7089

Prime factors of 7089 are 3, 17, 139. Prime factorization of 7089 in exponential form is:

7089 = 3¹ × 17¹ × 139¹

Step-3: Factors of 7074

List of positive integer factors of 7074 that divides 7074 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 131, 262, 393, 786, 1179, 2358, 3537

Step-4: Factors of 7089

List of positive integer factors of 7089 that divides 7074 without a remainder.

1, 3, 17, 51, 139, 417, 2363

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7074 and 7089. The biggest common factor number is the GCF number.
So the greatest common factor 7074 and 7089 is 3.

Also check out the Least Common Multiple of 7074 and 7089