What is the Greatest Common Factor of 55608 and 55626?

Greatest common factor (GCF) of 55608 and 55626 is 6.

GCF(55608,55626) = 6

We will now calculate the prime factors of 55608 and 55626, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55608 and 55626.

How to find the GCF of 55608 and 55626?

We will first find the prime factorization of 55608 and 55626. After we will calculate the factors of 55608 and 55626 and find the biggest common factor number .

Step-1: Prime Factorization of 55608

Prime factors of 55608 are 2, 3, 7, 331. Prime factorization of 55608 in exponential form is:

55608 = 2³ × 3¹ × 7¹ × 331¹

Step-2: Prime Factorization of 55626

Prime factors of 55626 are 2, 3, 73, 127. Prime factorization of 55626 in exponential form is:

55626 = 2¹ × 3¹ × 73¹ × 127¹

Step-3: Factors of 55608

List of positive integer factors of 55608 that divides 55608 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 331, 662, 993, 1324, 1986, 2317, 2648, 3972, 4634, 6951, 7944, 9268, 13902, 18536, 27804

Step-4: Factors of 55626

List of positive integer factors of 55626 that divides 55608 without a remainder.

1, 2, 3, 6, 73, 127, 146, 219, 254, 381, 438, 762, 9271, 18542, 27813

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55608 and 55626. The biggest common factor number is the GCF number.
So the greatest common factor 55608 and 55626 is 6.

Also check out the Least Common Multiple of 55608 and 55626