What is the Greatest Common Factor of 9450 and 9464?

Greatest common factor (GCF) of 9450 and 9464 is 14.

GCF(9450,9464) = 14

We will now calculate the prime factors of 9450 and 9464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9450 and 9464.

How to find the GCF of 9450 and 9464?

We will first find the prime factorization of 9450 and 9464. After we will calculate the factors of 9450 and 9464 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 9464

Prime factors of 9464 are 2, 7, 13. Prime factorization of 9464 in exponential form is:

9464 = 2³ × 7¹ × 13²

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 9464

List of positive integer factors of 9464 that divides 9450 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 169, 182, 338, 364, 676, 728, 1183, 1352, 2366, 4732

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9450 and 9464. The biggest common factor number is the GCF number.
So the greatest common factor 9450 and 9464 is 14.

Also check out the Least Common Multiple of 9450 and 9464