What is the Greatest Common Factor of 59361 and 59379?

Greatest common factor (GCF) of 59361 and 59379 is 3.

GCF(59361,59379) = 3

We will now calculate the prime factors of 59361 and 59379, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59361 and 59379.

How to find the GCF of 59361 and 59379?

We will first find the prime factorization of 59361 and 59379. After we will calculate the factors of 59361 and 59379 and find the biggest common factor number .

Step-1: Prime Factorization of 59361

Prime factors of 59361 are 3, 47, 421. Prime factorization of 59361 in exponential form is:

59361 = 3¹ × 47¹ × 421¹

Step-2: Prime Factorization of 59379

Prime factors of 59379 are 3, 19793. Prime factorization of 59379 in exponential form is:

59379 = 3¹ × 19793¹

Step-3: Factors of 59361

List of positive integer factors of 59361 that divides 59361 without a remainder.

1, 3, 47, 141, 421, 1263, 19787

Step-4: Factors of 59379

List of positive integer factors of 59379 that divides 59361 without a remainder.

1, 3, 19793

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59361 and 59379. The biggest common factor number is the GCF number.
So the greatest common factor 59361 and 59379 is 3.

Also check out the Least Common Multiple of 59361 and 59379