What is the Greatest Common Factor of 9074 and 9089?

Greatest common factor (GCF) of 9074 and 9089 is 1.

GCF(9074,9089) = 1

We will now calculate the prime factors of 9074 and 9089, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9074 and 9089.

How to find the GCF of 9074 and 9089?

We will first find the prime factorization of 9074 and 9089. After we will calculate the factors of 9074 and 9089 and find the biggest common factor number .

Step-1: Prime Factorization of 9074

Prime factors of 9074 are 2, 13, 349. Prime factorization of 9074 in exponential form is:

9074 = 2¹ × 13¹ × 349¹

Step-2: Prime Factorization of 9089

Prime factors of 9089 are 61, 149. Prime factorization of 9089 in exponential form is:

9089 = 61¹ × 149¹

Step-3: Factors of 9074

List of positive integer factors of 9074 that divides 9074 without a remainder.

1, 2, 13, 26, 349, 698, 4537

Step-4: Factors of 9089

List of positive integer factors of 9089 that divides 9074 without a remainder.

1, 61, 149

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9074 and 9089. The biggest common factor number is the GCF number.
So the greatest common factor 9074 and 9089 is 1.

Also check out the Least Common Multiple of 9074 and 9089