What is the Greatest Common Factor of 94302 and 94320?

Greatest common factor (GCF) of 94302 and 94320 is 18.

GCF(94302,94320) = 18

We will now calculate the prime factors of 94302 and 94320, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94302 and 94320.

How to find the GCF of 94302 and 94320?

We will first find the prime factorization of 94302 and 94320. After we will calculate the factors of 94302 and 94320 and find the biggest common factor number .

Step-1: Prime Factorization of 94302

Prime factors of 94302 are 2, 3, 13, 31. Prime factorization of 94302 in exponential form is:

94302 = 2¹ × 3² × 13² × 31¹

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 94302

List of positive integer factors of 94302 that divides 94302 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 31, 39, 62, 78, 93, 117, 169, 186, 234, 279, 338, 403, 507, 558, 806, 1014, 1209, 1521, 2418, 3042, 3627, 5239, 7254, 10478, 15717, 31434, 47151

Step-4: Factors of 94320

List of positive integer factors of 94320 that divides 94302 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 94302 and 94320. The biggest common factor number is the GCF number.
So the greatest common factor 94302 and 94320 is 18.

Also check out the Least Common Multiple of 94302 and 94320