What is the Greatest Common Factor of 9422 and 9436?

Greatest common factor (GCF) of 9422 and 9436 is 14.

GCF(9422,9436) = 14

We will now calculate the prime factors of 9422 and 9436, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9422 and 9436.

How to find the GCF of 9422 and 9436?

We will first find the prime factorization of 9422 and 9436. After we will calculate the factors of 9422 and 9436 and find the biggest common factor number .

Step-1: Prime Factorization of 9422

Prime factors of 9422 are 2, 7, 673. Prime factorization of 9422 in exponential form is:

9422 = 2¹ × 7¹ × 673¹

Step-2: Prime Factorization of 9436

Prime factors of 9436 are 2, 7, 337. Prime factorization of 9436 in exponential form is:

9436 = 2² × 7¹ × 337¹

Step-3: Factors of 9422

List of positive integer factors of 9422 that divides 9422 without a remainder.

1, 2, 7, 14, 673, 1346, 4711

Step-4: Factors of 9436

List of positive integer factors of 9436 that divides 9422 without a remainder.

1, 2, 4, 7, 14, 28, 337, 674, 1348, 2359, 4718

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9422 and 9436. The biggest common factor number is the GCF number.
So the greatest common factor 9422 and 9436 is 14.

Also check out the Least Common Multiple of 9422 and 9436