What is the Greatest Common Factor of 9424 and 9429?

Greatest common factor (GCF) of 9424 and 9429 is 1.

GCF(9424,9429) = 1

We will now calculate the prime factors of 9424 and 9429, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9424 and 9429.

How to find the GCF of 9424 and 9429?

We will first find the prime factorization of 9424 and 9429. After we will calculate the factors of 9424 and 9429 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 9429

Prime factors of 9429 are 3, 7, 449. Prime factorization of 9429 in exponential form is:

9429 = 3¹ × 7¹ × 449¹

Step-3: Factors of 9424

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

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

Step-4: Factors of 9429

List of positive integer factors of 9429 that divides 9424 without a remainder.

1, 3, 7, 21, 449, 1347, 3143

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9424 and 9429. The biggest common factor number is the GCF number.
So the greatest common factor 9424 and 9429 is 1.

Also check out the Least Common Multiple of 9424 and 9429