What is the Greatest Common Factor of 55008 and 55024?

Greatest common factor (GCF) of 55008 and 55024 is 16.

GCF(55008,55024) = 16

We will now calculate the prime factors of 55008 and 55024, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55008 and 55024.

How to find the GCF of 55008 and 55024?

We will first find the prime factorization of 55008 and 55024. After we will calculate the factors of 55008 and 55024 and find the biggest common factor number .

Step-1: Prime Factorization of 55008

Prime factors of 55008 are 2, 3, 191. Prime factorization of 55008 in exponential form is:

55008 = 2⁵ × 3² × 191¹

Step-2: Prime Factorization of 55024

Prime factors of 55024 are 2, 19, 181. Prime factorization of 55024 in exponential form is:

55024 = 2⁴ × 19¹ × 181¹

Step-3: Factors of 55008

List of positive integer factors of 55008 that divides 55008 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 191, 288, 382, 573, 764, 1146, 1528, 1719, 2292, 3056, 3438, 4584, 6112, 6876, 9168, 13752, 18336, 27504

Step-4: Factors of 55024

List of positive integer factors of 55024 that divides 55008 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 181, 304, 362, 724, 1448, 2896, 3439, 6878, 13756, 27512

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55008 and 55024. The biggest common factor number is the GCF number.
So the greatest common factor 55008 and 55024 is 16.

Also check out the Least Common Multiple of 55008 and 55024