What is the Greatest Common Factor of 59349 and 59364?

Greatest common factor (GCF) of 59349 and 59364 is 3.

GCF(59349,59364) = 3

We will now calculate the prime factors of 59349 and 59364, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59349 and 59364.

How to find the GCF of 59349 and 59364?

We will first find the prime factorization of 59349 and 59364. After we will calculate the factors of 59349 and 59364 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 59364

Prime factors of 59364 are 2, 3, 17, 97. Prime factorization of 59364 in exponential form is:

59364 = 2² × 3² × 17¹ × 97¹

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 59364

List of positive integer factors of 59364 that divides 59349 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 97, 102, 153, 194, 204, 291, 306, 388, 582, 612, 873, 1164, 1649, 1746, 3298, 3492, 4947, 6596, 9894, 14841, 19788, 29682

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59349 and 59364. The biggest common factor number is the GCF number.
So the greatest common factor 59349 and 59364 is 3.

Also check out the Least Common Multiple of 59349 and 59364