What is the Greatest Common Factor of 94335 and 94341?

Greatest common factor (GCF) of 94335 and 94341 is 3.

GCF(94335,94341) = 3

We will now calculate the prime factors of 94335 and 94341, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94335 and 94341.

How to find the GCF of 94335 and 94341?

We will first find the prime factorization of 94335 and 94341. After we will calculate the factors of 94335 and 94341 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 94341

Prime factors of 94341 are 3, 13, 41, 59. Prime factorization of 94341 in exponential form is:

94341 = 3¹ × 13¹ × 41¹ × 59¹

Step-3: Factors of 94335

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

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

Step-4: Factors of 94341

List of positive integer factors of 94341 that divides 94335 without a remainder.

1, 3, 13, 39, 41, 59, 123, 177, 533, 767, 1599, 2301, 2419, 7257, 31447

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94335 and 94341. The biggest common factor number is the GCF number.
So the greatest common factor 94335 and 94341 is 3.

Also check out the Least Common Multiple of 94335 and 94341