What is the Greatest Common Factor of 55608 and 55622?

Greatest common factor (GCF) of 55608 and 55622 is 14.

GCF(55608,55622) = 14

We will now calculate the prime factors of 55608 and 55622, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55608 and 55622.

How to find the GCF of 55608 and 55622?

We will first find the prime factorization of 55608 and 55622. After we will calculate the factors of 55608 and 55622 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 55622

Prime factors of 55622 are 2, 7, 29, 137. Prime factorization of 55622 in exponential form is:

55622 = 2¹ × 7¹ × 29¹ × 137¹

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 55622

List of positive integer factors of 55622 that divides 55608 without a remainder.

1, 2, 7, 14, 29, 58, 137, 203, 274, 406, 959, 1918, 3973, 7946, 27811

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55608 and 55622. The biggest common factor number is the GCF number.
So the greatest common factor 55608 and 55622 is 14.

Also check out the Least Common Multiple of 55608 and 55622