What is the Greatest Common Factor of 96078 and 96085?

Greatest common factor (GCF) of 96078 and 96085 is 1.

GCF(96078,96085) = 1

We will now calculate the prime factors of 96078 and 96085, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96078 and 96085.

How to find the GCF of 96078 and 96085?

We will first find the prime factorization of 96078 and 96085. After we will calculate the factors of 96078 and 96085 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 96085

Prime factors of 96085 are 5, 11, 1747. Prime factorization of 96085 in exponential form is:

96085 = 5¹ × 11¹ × 1747¹

Step-3: Factors of 96078

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

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

Step-4: Factors of 96085

List of positive integer factors of 96085 that divides 96078 without a remainder.

1, 5, 11, 55, 1747, 8735, 19217

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96078 and 96085. The biggest common factor number is the GCF number.
So the greatest common factor 96078 and 96085 is 1.

Also check out the Least Common Multiple of 96078 and 96085