What is the Greatest Common Factor of 9440 and 9450?

Greatest common factor (GCF) of 9440 and 9450 is 10.

GCF(9440,9450) = 10

We will now calculate the prime factors of 9440 and 9450, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9440 and 9450.

How to find the GCF of 9440 and 9450?

We will first find the prime factorization of 9440 and 9450. After we will calculate the factors of 9440 and 9450 and find the biggest common factor number .

Step-1: Prime Factorization of 9440

Prime factors of 9440 are 2, 5, 59. Prime factorization of 9440 in exponential form is:

9440 = 2⁵ × 5¹ × 59¹

Step-2: 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-3: Factors of 9440

List of positive integer factors of 9440 that divides 9440 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 59, 80, 118, 160, 236, 295, 472, 590, 944, 1180, 1888, 2360, 4720

Step-4: Factors of 9450

List of positive integer factors of 9450 that divides 9440 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9440 and 9450. The biggest common factor number is the GCF number.
So the greatest common factor 9440 and 9450 is 10.

Also check out the Least Common Multiple of 9440 and 9450