What is the Greatest Common Factor of 94320 and 94335?

Greatest common factor (GCF) of 94320 and 94335 is 15.

GCF(94320,94335) = 15

We will now calculate the prime factors of 94320 and 94335, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94320 and 94335.

How to find the GCF of 94320 and 94335?

We will first find the prime factorization of 94320 and 94335. After we will calculate the factors of 94320 and 94335 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 94335

Prime factors of 94335 are 3, 5, 19, 331. Prime factorization of 94335 in exponential form is:

94335 = 3¹ × 5¹ × 19¹ × 331¹

Step-3: Factors of 94320

List of positive integer factors of 94320 that divides 94320 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

Step-4: Factors of 94335

List of positive integer factors of 94335 that divides 94320 without a remainder.

1, 3, 5, 15, 19, 57, 95, 285, 331, 993, 1655, 4965, 6289, 18867, 31445

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94320 and 94335. The biggest common factor number is the GCF number.
So the greatest common factor 94320 and 94335 is 15.

Also check out the Least Common Multiple of 94320 and 94335