What is the Greatest Common Factor of 96414 and 96429?

Greatest common factor (GCF) of 96414 and 96429 is 3.

GCF(96414,96429) = 3

We will now calculate the prime factors of 96414 and 96429, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96414 and 96429.

How to find the GCF of 96414 and 96429?

We will first find the prime factorization of 96414 and 96429. After we will calculate the factors of 96414 and 96429 and find the biggest common factor number .

Step-1: Prime Factorization of 96414

Prime factors of 96414 are 2, 3, 16069. Prime factorization of 96414 in exponential form is:

96414 = 2¹ × 3¹ × 16069¹

Step-2: Prime Factorization of 96429

Prime factors of 96429 are 3, 32143. Prime factorization of 96429 in exponential form is:

96429 = 3¹ × 32143¹

Step-3: Factors of 96414

List of positive integer factors of 96414 that divides 96414 without a remainder.

1, 2, 3, 6, 16069, 32138, 48207

Step-4: Factors of 96429

List of positive integer factors of 96429 that divides 96414 without a remainder.

1, 3, 32143

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96414 and 96429. The biggest common factor number is the GCF number.
So the greatest common factor 96414 and 96429 is 3.

Also check out the Least Common Multiple of 96414 and 96429