What is the Greatest Common Factor of 53349 and 53361?

Greatest common factor (GCF) of 53349 and 53361 is 3.

GCF(53349,53361) = 3

We will now calculate the prime factors of 53349 and 53361, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53349 and 53361.

How to find the GCF of 53349 and 53361?

We will first find the prime factorization of 53349 and 53361. After we will calculate the factors of 53349 and 53361 and find the biggest common factor number .

Step-1: Prime Factorization of 53349

Prime factors of 53349 are 3, 17783. Prime factorization of 53349 in exponential form is:

53349 = 3¹ × 17783¹

Step-2: Prime Factorization of 53361

Prime factors of 53361 are 3, 7, 11. Prime factorization of 53361 in exponential form is:

53361 = 3² × 7² × 11²

Step-3: Factors of 53349

List of positive integer factors of 53349 that divides 53349 without a remainder.

1, 3, 17783

Step-4: Factors of 53361

List of positive integer factors of 53361 that divides 53349 without a remainder.

1, 3, 7, 9, 11, 21, 33, 49, 63, 77, 99, 121, 147, 231, 363, 441, 539, 693, 847, 1089, 1617, 2541, 4851, 5929, 7623, 17787

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53349 and 53361. The biggest common factor number is the GCF number.
So the greatest common factor 53349 and 53361 is 3.

Also check out the Least Common Multiple of 53349 and 53361