What is the Greatest Common Factor of 55352 and 55369?

Greatest common factor (GCF) of 55352 and 55369 is 17.

GCF(55352,55369) = 17

We will now calculate the prime factors of 55352 and 55369, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55352 and 55369.

How to find the GCF of 55352 and 55369?

We will first find the prime factorization of 55352 and 55369. After we will calculate the factors of 55352 and 55369 and find the biggest common factor number .

Step-1: Prime Factorization of 55352

Prime factors of 55352 are 2, 11, 17, 37. Prime factorization of 55352 in exponential form is:

55352 = 2³ × 11¹ × 17¹ × 37¹

Step-2: Prime Factorization of 55369

Prime factors of 55369 are 17, 3257. Prime factorization of 55369 in exponential form is:

55369 = 17¹ × 3257¹

Step-3: Factors of 55352

List of positive integer factors of 55352 that divides 55352 without a remainder.

1, 2, 4, 8, 11, 17, 22, 34, 37, 44, 68, 74, 88, 136, 148, 187, 296, 374, 407, 629, 748, 814, 1258, 1496, 1628, 2516, 3256, 5032, 6919, 13838, 27676

Step-4: Factors of 55369

List of positive integer factors of 55369 that divides 55352 without a remainder.

1, 17, 3257

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55352 and 55369. The biggest common factor number is the GCF number.
So the greatest common factor 55352 and 55369 is 17.

Also check out the Least Common Multiple of 55352 and 55369