What is the Greatest Common Factor of 9290 and 9300?

Greatest common factor (GCF) of 9290 and 9300 is 10.

GCF(9290,9300) = 10

We will now calculate the prime factors of 9290 and 9300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9290 and 9300.

How to find the GCF of 9290 and 9300?

We will first find the prime factorization of 9290 and 9300. After we will calculate the factors of 9290 and 9300 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 9300

Prime factors of 9300 are 2, 3, 5, 31. Prime factorization of 9300 in exponential form is:

9300 = 2² × 3¹ × 5² × 31¹

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 9300

List of positive integer factors of 9300 that divides 9290 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 31, 50, 60, 62, 75, 93, 100, 124, 150, 155, 186, 300, 310, 372, 465, 620, 775, 930, 1550, 1860, 2325, 3100, 4650

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9290 and 9300. The biggest common factor number is the GCF number.
So the greatest common factor 9290 and 9300 is 10.

Also check out the Least Common Multiple of 9290 and 9300