What is the Greatest Common Factor of 59349 and 59361?

Greatest common factor (GCF) of 59349 and 59361 is 3.

GCF(59349,59361) = 3

We will now calculate the prime factors of 59349 and 59361, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59349 and 59361.

How to find the GCF of 59349 and 59361?

We will first find the prime factorization of 59349 and 59361. After we will calculate the factors of 59349 and 59361 and find the biggest common factor number .

Step-1: Prime Factorization of 59349

Prime factors of 59349 are 3, 73, 271. Prime factorization of 59349 in exponential form is:

59349 = 3¹ × 73¹ × 271¹

Step-2: 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-3: Factors of 59349

List of positive integer factors of 59349 that divides 59349 without a remainder.

1, 3, 73, 219, 271, 813, 19783

Step-4: Factors of 59361

List of positive integer factors of 59361 that divides 59349 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59349 and 59361. The biggest common factor number is the GCF number.
So the greatest common factor 59349 and 59361 is 3.

Also check out the Least Common Multiple of 59349 and 59361