What is the Greatest Common Factor of 9074 and 9086?

Greatest common factor (GCF) of 9074 and 9086 is 2.

GCF(9074,9086) = 2

We will now calculate the prime factors of 9074 and 9086, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9074 and 9086.

How to find the GCF of 9074 and 9086?

We will first find the prime factorization of 9074 and 9086. After we will calculate the factors of 9074 and 9086 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 9086

Prime factors of 9086 are 2, 7, 11, 59. Prime factorization of 9086 in exponential form is:

9086 = 2¹ × 7¹ × 11¹ × 59¹

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 9086

List of positive integer factors of 9086 that divides 9074 without a remainder.

1, 2, 7, 11, 14, 22, 59, 77, 118, 154, 413, 649, 826, 1298, 4543

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9074 and 9086. The biggest common factor number is the GCF number.
So the greatest common factor 9074 and 9086 is 2.

Also check out the Least Common Multiple of 9074 and 9086