What is the Greatest Common Factor of 96069 and 96078?

Greatest common factor (GCF) of 96069 and 96078 is 3.

GCF(96069,96078) = 3

We will now calculate the prime factors of 96069 and 96078, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96069 and 96078.

How to find the GCF of 96069 and 96078?

We will first find the prime factorization of 96069 and 96078. After we will calculate the factors of 96069 and 96078 and find the biggest common factor number .

Step-1: Prime Factorization of 96069

Prime factors of 96069 are 3, 31, 1033. Prime factorization of 96069 in exponential form is:

96069 = 3¹ × 31¹ × 1033¹

Step-2: Prime Factorization of 96078

Prime factors of 96078 are 2, 3, 67, 239. Prime factorization of 96078 in exponential form is:

96078 = 2¹ × 3¹ × 67¹ × 239¹

Step-3: Factors of 96069

List of positive integer factors of 96069 that divides 96069 without a remainder.

1, 3, 31, 93, 1033, 3099, 32023

Step-4: Factors of 96078

List of positive integer factors of 96078 that divides 96069 without a remainder.

1, 2, 3, 6, 67, 134, 201, 239, 402, 478, 717, 1434, 16013, 32026, 48039

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96069 and 96078. The biggest common factor number is the GCF number.
So the greatest common factor 96069 and 96078 is 3.

Also check out the Least Common Multiple of 96069 and 96078