What is the Greatest Common Factor of 59346 and 59355?

Greatest common factor (GCF) of 59346 and 59355 is 9.

GCF(59346,59355) = 9

We will now calculate the prime factors of 59346 and 59355, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59346 and 59355.

How to find the GCF of 59346 and 59355?

We will first find the prime factorization of 59346 and 59355. After we will calculate the factors of 59346 and 59355 and find the biggest common factor number .

Step-1: Prime Factorization of 59346

Prime factors of 59346 are 2, 3, 7, 157. Prime factorization of 59346 in exponential form is:

59346 = 2¹ × 3³ × 7¹ × 157¹

Step-2: Prime Factorization of 59355

Prime factors of 59355 are 3, 5, 1319. Prime factorization of 59355 in exponential form is:

59355 = 3² × 5¹ × 1319¹

Step-3: Factors of 59346

List of positive integer factors of 59346 that divides 59346 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 157, 189, 314, 378, 471, 942, 1099, 1413, 2198, 2826, 3297, 4239, 6594, 8478, 9891, 19782, 29673

Step-4: Factors of 59355

List of positive integer factors of 59355 that divides 59346 without a remainder.

1, 3, 5, 9, 15, 45, 1319, 3957, 6595, 11871, 19785

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59346 and 59355. The biggest common factor number is the GCF number.
So the greatest common factor 59346 and 59355 is 9.

Also check out the Least Common Multiple of 59346 and 59355