What is the Greatest Common Factor of 55408 and 55416?

Greatest common factor (GCF) of 55408 and 55416 is 8.

GCF(55408,55416) = 8

We will now calculate the prime factors of 55408 and 55416, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55408 and 55416.

How to find the GCF of 55408 and 55416?

We will first find the prime factorization of 55408 and 55416. After we will calculate the factors of 55408 and 55416 and find the biggest common factor number .

Step-1: Prime Factorization of 55408

Prime factors of 55408 are 2, 3463. Prime factorization of 55408 in exponential form is:

55408 = 2⁴ × 3463¹

Step-2: 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-3: Factors of 55408

List of positive integer factors of 55408 that divides 55408 without a remainder.

1, 2, 4, 8, 16, 3463, 6926, 13852, 27704

Step-4: Factors of 55416

List of positive integer factors of 55416 that divides 55408 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55408 and 55416. The biggest common factor number is the GCF number.
So the greatest common factor 55408 and 55416 is 8.

Also check out the Least Common Multiple of 55408 and 55416