What is the Greatest Common Factor of 9420 and 9424?

Greatest common factor (GCF) of 9420 and 9424 is 4.

GCF(9420,9424) = 4

We will now calculate the prime factors of 9420 and 9424, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9420 and 9424.

How to find the GCF of 9420 and 9424?

We will first find the prime factorization of 9420 and 9424. After we will calculate the factors of 9420 and 9424 and find the biggest common factor number .

Step-1: Prime Factorization of 9420

Prime factors of 9420 are 2, 3, 5, 157. Prime factorization of 9420 in exponential form is:

9420 = 2² × 3¹ × 5¹ × 157¹

Step-2: Prime Factorization of 9424

Prime factors of 9424 are 2, 19, 31. Prime factorization of 9424 in exponential form is:

9424 = 2⁴ × 19¹ × 31¹

Step-3: Factors of 9420

List of positive integer factors of 9420 that divides 9420 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 157, 314, 471, 628, 785, 942, 1570, 1884, 2355, 3140, 4710

Step-4: Factors of 9424

List of positive integer factors of 9424 that divides 9420 without a remainder.

1, 2, 4, 8, 16, 19, 31, 38, 62, 76, 124, 152, 248, 304, 496, 589, 1178, 2356, 4712

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9420 and 9424. The biggest common factor number is the GCF number.
So the greatest common factor 9420 and 9424 is 4.

Also check out the Least Common Multiple of 9420 and 9424