What is the Greatest Common Factor of 94665 and 94680?

Greatest common factor (GCF) of 94665 and 94680 is 15.

GCF(94665,94680) = 15

We will now calculate the prime factors of 94665 and 94680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94665 and 94680.

How to find the GCF of 94665 and 94680?

We will first find the prime factorization of 94665 and 94680. After we will calculate the factors of 94665 and 94680 and find the biggest common factor number .

Step-1: Prime Factorization of 94665

Prime factors of 94665 are 3, 5, 6311. Prime factorization of 94665 in exponential form is:

94665 = 3¹ × 5¹ × 6311¹

Step-2: Prime Factorization of 94680

Prime factors of 94680 are 2, 3, 5, 263. Prime factorization of 94680 in exponential form is:

94680 = 2³ × 3² × 5¹ × 263¹

Step-3: Factors of 94665

List of positive integer factors of 94665 that divides 94665 without a remainder.

1, 3, 5, 15, 6311, 18933, 31555

Step-4: Factors of 94680

List of positive integer factors of 94680 that divides 94665 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 263, 360, 526, 789, 1052, 1315, 1578, 2104, 2367, 2630, 3156, 3945, 4734, 5260, 6312, 7890, 9468, 10520, 11835, 15780, 18936, 23670, 31560, 47340

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94665 and 94680. The biggest common factor number is the GCF number.
So the greatest common factor 94665 and 94680 is 15.

Also check out the Least Common Multiple of 94665 and 94680