What is the Greatest Common Factor of 94320 and 94334?

Greatest common factor (GCF) of 94320 and 94334 is 2.

GCF(94320,94334) = 2

We will now calculate the prime factors of 94320 and 94334, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94320 and 94334.

How to find the GCF of 94320 and 94334?

We will first find the prime factorization of 94320 and 94334. After we will calculate the factors of 94320 and 94334 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 94334

Prime factors of 94334 are 2, 101, 467. Prime factorization of 94334 in exponential form is:

94334 = 2¹ × 101¹ × 467¹

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 94334

List of positive integer factors of 94334 that divides 94320 without a remainder.

1, 2, 101, 202, 467, 934, 47167

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94320 and 94334. The biggest common factor number is the GCF number.
So the greatest common factor 94320 and 94334 is 2.

Also check out the Least Common Multiple of 94320 and 94334