What is the Greatest Common Factor of 94305 and 94320?

Greatest common factor (GCF) of 94305 and 94320 is 15.

GCF(94305,94320) = 15

We will now calculate the prime factors of 94305 and 94320, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94305 and 94320.

How to find the GCF of 94305 and 94320?

We will first find the prime factorization of 94305 and 94320. After we will calculate the factors of 94305 and 94320 and find the biggest common factor number .

Step-1: Prime Factorization of 94305

Prime factors of 94305 are 3, 5, 6287. Prime factorization of 94305 in exponential form is:

94305 = 3¹ × 5¹ × 6287¹

Step-2: Prime Factorization of 94320

Prime factors of 94320 are 2, 3, 5, 131. Prime factorization of 94320 in exponential form is:

94320 = 2⁴ × 3² × 5¹ × 131¹

Step-3: Factors of 94305

List of positive integer factors of 94305 that divides 94305 without a remainder.

1, 3, 5, 15, 6287, 18861, 31435

Step-4: Factors of 94320

List of positive integer factors of 94320 that divides 94305 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 131, 144, 180, 240, 262, 360, 393, 524, 655, 720, 786, 1048, 1179, 1310, 1572, 1965, 2096, 2358, 2620, 3144, 3930, 4716, 5240, 5895, 6288, 7860, 9432, 10480, 11790, 15720, 18864, 23580, 31440, 47160

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94305 and 94320. The biggest common factor number is the GCF number.
So the greatest common factor 94305 and 94320 is 15.

Also check out the Least Common Multiple of 94305 and 94320