What is the Greatest Common Factor of 9290 and 9295?

Greatest common factor (GCF) of 9290 and 9295 is 5.

GCF(9290,9295) = 5

We will now calculate the prime factors of 9290 and 9295, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9290 and 9295.

How to find the GCF of 9290 and 9295?

We will first find the prime factorization of 9290 and 9295. After we will calculate the factors of 9290 and 9295 and find the biggest common factor number .

Step-1: Prime Factorization of 9290

Prime factors of 9290 are 2, 5, 929. Prime factorization of 9290 in exponential form is:

9290 = 2¹ × 5¹ × 929¹

Step-2: Prime Factorization of 9295

Prime factors of 9295 are 5, 11, 13. Prime factorization of 9295 in exponential form is:

9295 = 5¹ × 11¹ × 13²

Step-3: Factors of 9290

List of positive integer factors of 9290 that divides 9290 without a remainder.

1, 2, 5, 10, 929, 1858, 4645

Step-4: Factors of 9295

List of positive integer factors of 9295 that divides 9290 without a remainder.

1, 5, 11, 13, 55, 65, 143, 169, 715, 845, 1859

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9290 and 9295. The biggest common factor number is the GCF number.
So the greatest common factor 9290 and 9295 is 5.

Also check out the Least Common Multiple of 9290 and 9295