What is the Greatest Common Factor of 55416 and 55422?

Greatest common factor (GCF) of 55416 and 55422 is 6.

GCF(55416,55422) = 6

We will now calculate the prime factors of 55416 and 55422, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55416 and 55422.

How to find the GCF of 55416 and 55422?

We will first find the prime factorization of 55416 and 55422. After we will calculate the factors of 55416 and 55422 and find the biggest common factor number .

Step-1: Prime Factorization of 55416

Prime factors of 55416 are 2, 3, 2309. Prime factorization of 55416 in exponential form is:

55416 = 2³ × 3¹ × 2309¹

Step-2: Prime Factorization of 55422

Prime factors of 55422 are 2, 3, 3079. Prime factorization of 55422 in exponential form is:

55422 = 2¹ × 3² × 3079¹

Step-3: Factors of 55416

List of positive integer factors of 55416 that divides 55416 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2309, 4618, 6927, 9236, 13854, 18472, 27708

Step-4: Factors of 55422

List of positive integer factors of 55422 that divides 55416 without a remainder.

1, 2, 3, 6, 9, 18, 3079, 6158, 9237, 18474, 27711

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55416 and 55422. The biggest common factor number is the GCF number.
So the greatest common factor 55416 and 55422 is 6.

Also check out the Least Common Multiple of 55416 and 55422