What is the Greatest Common Factor of 55398 and 55412?

Greatest common factor (GCF) of 55398 and 55412 is 14.

GCF(55398,55412) = 14

We will now calculate the prime factors of 55398 and 55412, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55398 and 55412.

How to find the GCF of 55398 and 55412?

We will first find the prime factorization of 55398 and 55412. After we will calculate the factors of 55398 and 55412 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 55412

Prime factors of 55412 are 2, 7, 1979. Prime factorization of 55412 in exponential form is:

55412 = 2² × 7¹ × 1979¹

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 55412

List of positive integer factors of 55412 that divides 55398 without a remainder.

1, 2, 4, 7, 14, 28, 1979, 3958, 7916, 13853, 27706

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55398 and 55412. The biggest common factor number is the GCF number.
So the greatest common factor 55398 and 55412 is 14.

Also check out the Least Common Multiple of 55398 and 55412