What is the Greatest Common Factor of 55352 and 55358?

Greatest common factor (GCF) of 55352 and 55358 is 2.

GCF(55352,55358) = 2

We will now calculate the prime factors of 55352 and 55358, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55352 and 55358.

How to find the GCF of 55352 and 55358?

We will first find the prime factorization of 55352 and 55358. After we will calculate the factors of 55352 and 55358 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 55358

Prime factors of 55358 are 2, 89, 311. Prime factorization of 55358 in exponential form is:

55358 = 2¹ × 89¹ × 311¹

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 55358

List of positive integer factors of 55358 that divides 55352 without a remainder.

1, 2, 89, 178, 311, 622, 27679

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55352 and 55358. The biggest common factor number is the GCF number.
So the greatest common factor 55352 and 55358 is 2.

Also check out the Least Common Multiple of 55352 and 55358