What is the Greatest Common Factor of 9310 and 9320?

Greatest common factor (GCF) of 9310 and 9320 is 10.

GCF(9310,9320) = 10

We will now calculate the prime factors of 9310 and 9320, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9310 and 9320.

How to find the GCF of 9310 and 9320?

We will first find the prime factorization of 9310 and 9320. After we will calculate the factors of 9310 and 9320 and find the biggest common factor number .

Step-1: Prime Factorization of 9310

Prime factors of 9310 are 2, 5, 7, 19. Prime factorization of 9310 in exponential form is:

9310 = 2¹ × 5¹ × 7² × 19¹

Step-2: Prime Factorization of 9320

Prime factors of 9320 are 2, 5, 233. Prime factorization of 9320 in exponential form is:

9320 = 2³ × 5¹ × 233¹

Step-3: Factors of 9310

List of positive integer factors of 9310 that divides 9310 without a remainder.

1, 2, 5, 7, 10, 14, 19, 35, 38, 49, 70, 95, 98, 133, 190, 245, 266, 490, 665, 931, 1330, 1862, 4655

Step-4: Factors of 9320

List of positive integer factors of 9320 that divides 9310 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 233, 466, 932, 1165, 1864, 2330, 4660

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9310 and 9320. The biggest common factor number is the GCF number.
So the greatest common factor 9310 and 9320 is 10.

Also check out the Least Common Multiple of 9310 and 9320