What is the Greatest Common Factor of 59382 and 59401?

Greatest common factor (GCF) of 59382 and 59401 is 1.

GCF(59382,59401) = 1

We will now calculate the prime factors of 59382 and 59401, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59382 and 59401.

How to find the GCF of 59382 and 59401?

We will first find the prime factorization of 59382 and 59401. After we will calculate the factors of 59382 and 59401 and find the biggest common factor number .

Step-1: Prime Factorization of 59382

Prime factors of 59382 are 2, 3, 3299. Prime factorization of 59382 in exponential form is:

59382 = 2¹ × 3² × 3299¹

Step-2: Prime Factorization of 59401

Prime factors of 59401 are 191, 311. Prime factorization of 59401 in exponential form is:

59401 = 191¹ × 311¹

Step-3: Factors of 59382

List of positive integer factors of 59382 that divides 59382 without a remainder.

1, 2, 3, 6, 9, 18, 3299, 6598, 9897, 19794, 29691

Step-4: Factors of 59401

List of positive integer factors of 59401 that divides 59382 without a remainder.

1, 191, 311

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59382 and 59401. The biggest common factor number is the GCF number.
So the greatest common factor 59382 and 59401 is 1.

Also check out the Least Common Multiple of 59382 and 59401