What is the Greatest Common Factor of 96450 and 96454?

Greatest common factor (GCF) of 96450 and 96454 is 2.

GCF(96450,96454) = 2

We will now calculate the prime factors of 96450 and 96454, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96450 and 96454.

How to find the GCF of 96450 and 96454?

We will first find the prime factorization of 96450 and 96454. After we will calculate the factors of 96450 and 96454 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 96454

Prime factors of 96454 are 2, 29, 1663. Prime factorization of 96454 in exponential form is:

96454 = 2¹ × 29¹ × 1663¹

Step-3: Factors of 96450

List of positive integer factors of 96450 that divides 96450 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

Step-4: Factors of 96454

List of positive integer factors of 96454 that divides 96450 without a remainder.

1, 2, 29, 58, 1663, 3326, 48227

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96450 and 96454. The biggest common factor number is the GCF number.
So the greatest common factor 96450 and 96454 is 2.

Also check out the Least Common Multiple of 96450 and 96454