What is the Greatest Common Factor of 9420 and 9435?

Greatest common factor (GCF) of 9420 and 9435 is 15.

GCF(9420,9435) = 15

We will now calculate the prime factors of 9420 and 9435, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9420 and 9435.

How to find the GCF of 9420 and 9435?

We will first find the prime factorization of 9420 and 9435. After we will calculate the factors of 9420 and 9435 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 9435

Prime factors of 9435 are 3, 5, 17, 37. Prime factorization of 9435 in exponential form is:

9435 = 3¹ × 5¹ × 17¹ × 37¹

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 9435

List of positive integer factors of 9435 that divides 9420 without a remainder.

1, 3, 5, 15, 17, 37, 51, 85, 111, 185, 255, 555, 629, 1887, 3145

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9420 and 9435. The biggest common factor number is the GCF number.
So the greatest common factor 9420 and 9435 is 15.

Also check out the Least Common Multiple of 9420 and 9435