What is the Greatest Common Factor of 96780 and 96789?

Greatest common factor (GCF) of 96780 and 96789 is 3.

GCF(96780,96789) = 3

We will now calculate the prime factors of 96780 and 96789, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96780 and 96789.

How to find the GCF of 96780 and 96789?

We will first find the prime factorization of 96780 and 96789. After we will calculate the factors of 96780 and 96789 and find the biggest common factor number .

Step-1: Prime Factorization of 96780

Prime factors of 96780 are 2, 3, 5, 1613. Prime factorization of 96780 in exponential form is:

96780 = 2² × 3¹ × 5¹ × 1613¹

Step-2: Prime Factorization of 96789

Prime factors of 96789 are 3, 7, 11, 419. Prime factorization of 96789 in exponential form is:

96789 = 3¹ × 7¹ × 11¹ × 419¹

Step-3: Factors of 96780

List of positive integer factors of 96780 that divides 96780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1613, 3226, 4839, 6452, 8065, 9678, 16130, 19356, 24195, 32260, 48390

Step-4: Factors of 96789

List of positive integer factors of 96789 that divides 96780 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231, 419, 1257, 2933, 4609, 8799, 13827, 32263

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96780 and 96789. The biggest common factor number is the GCF number.
So the greatest common factor 96780 and 96789 is 3.

Also check out the Least Common Multiple of 96780 and 96789