What is the Greatest Common Factor of 52338 and 52349?

Greatest common factor (GCF) of 52338 and 52349 is 11.

GCF(52338,52349) = 11

We will now calculate the prime factors of 52338 and 52349, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52338 and 52349.

How to find the GCF of 52338 and 52349?

We will first find the prime factorization of 52338 and 52349. After we will calculate the factors of 52338 and 52349 and find the biggest common factor number .

Step-1: Prime Factorization of 52338

Prime factors of 52338 are 2, 3, 11, 13, 61. Prime factorization of 52338 in exponential form is:

52338 = 2¹ × 3¹ × 11¹ × 13¹ × 61¹

Step-2: Prime Factorization of 52349

Prime factors of 52349 are 11, 4759. Prime factorization of 52349 in exponential form is:

52349 = 11¹ × 4759¹

Step-3: Factors of 52338

List of positive integer factors of 52338 that divides 52338 without a remainder.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 61, 66, 78, 122, 143, 183, 286, 366, 429, 671, 793, 858, 1342, 1586, 2013, 2379, 4026, 4758, 8723, 17446, 26169

Step-4: Factors of 52349

List of positive integer factors of 52349 that divides 52338 without a remainder.

1, 11, 4759

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52338 and 52349. The biggest common factor number is the GCF number.
So the greatest common factor 52338 and 52349 is 11.

Also check out the Least Common Multiple of 52338 and 52349