What is the Greatest Common Factor of 59346 and 59353?

Greatest common factor (GCF) of 59346 and 59353 is 7.

GCF(59346,59353) = 7

We will now calculate the prime factors of 59346 and 59353, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59346 and 59353.

How to find the GCF of 59346 and 59353?

We will first find the prime factorization of 59346 and 59353. After we will calculate the factors of 59346 and 59353 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 59353

Prime factors of 59353 are 7, 61, 139. Prime factorization of 59353 in exponential form is:

59353 = 7¹ × 61¹ × 139¹

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 59353

List of positive integer factors of 59353 that divides 59346 without a remainder.

1, 7, 61, 139, 427, 973, 8479

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59346 and 59353. The biggest common factor number is the GCF number.
So the greatest common factor 59346 and 59353 is 7.

Also check out the Least Common Multiple of 59346 and 59353