What is the Greatest Common Factor of 9214 and 9220?

Greatest common factor (GCF) of 9214 and 9220 is 2.

GCF(9214,9220) = 2

We will now calculate the prime factors of 9214 and 9220, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9214 and 9220.

How to find the GCF of 9214 and 9220?

We will first find the prime factorization of 9214 and 9220. After we will calculate the factors of 9214 and 9220 and find the biggest common factor number .

Step-1: Prime Factorization of 9214

Prime factors of 9214 are 2, 17, 271. Prime factorization of 9214 in exponential form is:

9214 = 2¹ × 17¹ × 271¹

Step-2: Prime Factorization of 9220

Prime factors of 9220 are 2, 5, 461. Prime factorization of 9220 in exponential form is:

9220 = 2² × 5¹ × 461¹

Step-3: Factors of 9214

List of positive integer factors of 9214 that divides 9214 without a remainder.

1, 2, 17, 34, 271, 542, 4607

Step-4: Factors of 9220

List of positive integer factors of 9220 that divides 9214 without a remainder.

1, 2, 4, 5, 10, 20, 461, 922, 1844, 2305, 4610

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9214 and 9220. The biggest common factor number is the GCF number.
So the greatest common factor 9214 and 9220 is 2.

Also check out the Least Common Multiple of 9214 and 9220