What is the Greatest Common Factor of 55888 and 55902?

Greatest common factor (GCF) of 55888 and 55902 is 14.

GCF(55888,55902) = 14

We will now calculate the prime factors of 55888 and 55902, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55888 and 55902.

How to find the GCF of 55888 and 55902?

We will first find the prime factorization of 55888 and 55902. After we will calculate the factors of 55888 and 55902 and find the biggest common factor number .

Step-1: Prime Factorization of 55888

Prime factors of 55888 are 2, 7, 499. Prime factorization of 55888 in exponential form is:

55888 = 2⁴ × 7¹ × 499¹

Step-2: Prime Factorization of 55902

Prime factors of 55902 are 2, 3, 7, 11. Prime factorization of 55902 in exponential form is:

55902 = 2¹ × 3¹ × 7¹ × 11³

Step-3: Factors of 55888

List of positive integer factors of 55888 that divides 55888 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 499, 998, 1996, 3493, 3992, 6986, 7984, 13972, 27944

Step-4: Factors of 55902

List of positive integer factors of 55902 that divides 55888 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 121, 154, 231, 242, 363, 462, 726, 847, 1331, 1694, 2541, 2662, 3993, 5082, 7986, 9317, 18634, 27951

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55888 and 55902. The biggest common factor number is the GCF number.
So the greatest common factor 55888 and 55902 is 14.

Also check out the Least Common Multiple of 55888 and 55902