What is the Greatest Common Factor of 55398 and 55413?

Greatest common factor (GCF) of 55398 and 55413 is 3.

GCF(55398,55413) = 3

We will now calculate the prime factors of 55398 and 55413, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55398 and 55413.

How to find the GCF of 55398 and 55413?

We will first find the prime factorization of 55398 and 55413. After we will calculate the factors of 55398 and 55413 and find the biggest common factor number .

Step-1: Prime Factorization of 55398

Prime factors of 55398 are 2, 3, 7, 1319. Prime factorization of 55398 in exponential form is:

55398 = 2¹ × 3¹ × 7¹ × 1319¹

Step-2: Prime Factorization of 55413

Prime factors of 55413 are 3, 47, 131. Prime factorization of 55413 in exponential form is:

55413 = 3² × 47¹ × 131¹

Step-3: Factors of 55398

List of positive integer factors of 55398 that divides 55398 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1319, 2638, 3957, 7914, 9233, 18466, 27699

Step-4: Factors of 55413

List of positive integer factors of 55413 that divides 55398 without a remainder.

1, 3, 9, 47, 131, 141, 393, 423, 1179, 6157, 18471

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55398 and 55413. The biggest common factor number is the GCF number.
So the greatest common factor 55398 and 55413 is 3.

Also check out the Least Common Multiple of 55398 and 55413