What is the Greatest Common Factor of 96440 and 96450?

Greatest common factor (GCF) of 96440 and 96450 is 10.

GCF(96440,96450) = 10

We will now calculate the prime factors of 96440 and 96450, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96440 and 96450.

How to find the GCF of 96440 and 96450?

We will first find the prime factorization of 96440 and 96450. After we will calculate the factors of 96440 and 96450 and find the biggest common factor number .

Step-1: Prime Factorization of 96440

Prime factors of 96440 are 2, 5, 2411. Prime factorization of 96440 in exponential form is:

96440 = 2³ × 5¹ × 2411¹

Step-2: Prime Factorization of 96450

Prime factors of 96450 are 2, 3, 5, 643. Prime factorization of 96450 in exponential form is:

96450 = 2¹ × 3¹ × 5² × 643¹

Step-3: Factors of 96440

List of positive integer factors of 96440 that divides 96440 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 2411, 4822, 9644, 12055, 19288, 24110, 48220

Step-4: Factors of 96450

List of positive integer factors of 96450 that divides 96440 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 643, 1286, 1929, 3215, 3858, 6430, 9645, 16075, 19290, 32150, 48225

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96440 and 96450. The biggest common factor number is the GCF number.
So the greatest common factor 96440 and 96450 is 10.

Also check out the Least Common Multiple of 96440 and 96450