What is the Greatest Common Factor of 59332 and 59343?

Greatest common factor (GCF) of 59332 and 59343 is 1.

GCF(59332,59343) = 1

We will now calculate the prime factors of 59332 and 59343, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59332 and 59343.

How to find the GCF of 59332 and 59343?

We will first find the prime factorization of 59332 and 59343. After we will calculate the factors of 59332 and 59343 and find the biggest common factor number .

Step-1: Prime Factorization of 59332

Prime factors of 59332 are 2, 7, 13, 163. Prime factorization of 59332 in exponential form is:

59332 = 2² × 7¹ × 13¹ × 163¹

Step-2: Prime Factorization of 59343

Prime factors of 59343 are 3, 131, 151. Prime factorization of 59343 in exponential form is:

59343 = 3¹ × 131¹ × 151¹

Step-3: Factors of 59332

List of positive integer factors of 59332 that divides 59332 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 163, 182, 326, 364, 652, 1141, 2119, 2282, 4238, 4564, 8476, 14833, 29666

Step-4: Factors of 59343

List of positive integer factors of 59343 that divides 59332 without a remainder.

1, 3, 131, 151, 393, 453, 19781

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59332 and 59343. The biggest common factor number is the GCF number.
So the greatest common factor 59332 and 59343 is 1.

Also check out the Least Common Multiple of 59332 and 59343