What is the Greatest Common Factor of 9450 and 9470?

Greatest common factor (GCF) of 9450 and 9470 is 10.

GCF(9450,9470) = 10

We will now calculate the prime factors of 9450 and 9470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9450 and 9470.

How to find the GCF of 9450 and 9470?

We will first find the prime factorization of 9450 and 9470. After we will calculate the factors of 9450 and 9470 and find the biggest common factor number .

Step-1: Prime Factorization of 9450

Prime factors of 9450 are 2, 3, 5, 7. Prime factorization of 9450 in exponential form is:

9450 = 2¹ × 3³ × 5² × 7¹

Step-2: Prime Factorization of 9470

Prime factors of 9470 are 2, 5, 947. Prime factorization of 9470 in exponential form is:

9470 = 2¹ × 5¹ × 947¹

Step-3: Factors of 9450

List of positive integer factors of 9450 that divides 9450 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 25, 27, 30, 35, 42, 45, 50, 54, 63, 70, 75, 90, 105, 126, 135, 150, 175, 189, 210, 225, 270, 315, 350, 378, 450, 525, 630, 675, 945, 1050, 1350, 1575, 1890, 3150, 4725

Step-4: Factors of 9470

List of positive integer factors of 9470 that divides 9450 without a remainder.

1, 2, 5, 10, 947, 1894, 4735

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9450 and 9470. The biggest common factor number is the GCF number.
So the greatest common factor 9450 and 9470 is 10.

Also check out the Least Common Multiple of 9450 and 9470