What is the Greatest Common Factor of 9420 and 9429?

Greatest common factor (GCF) of 9420 and 9429 is 3.

GCF(9420,9429) = 3

We will now calculate the prime factors of 9420 and 9429, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9420 and 9429.

How to find the GCF of 9420 and 9429?

We will first find the prime factorization of 9420 and 9429. After we will calculate the factors of 9420 and 9429 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 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 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 9429

List of positive integer factors of 9429 that divides 9420 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9420 and 9429. The biggest common factor number is the GCF number.
So the greatest common factor 9420 and 9429 is 3.

Also check out the Least Common Multiple of 9420 and 9429