What is the Greatest Common Factor of 55968 and 55988?

Greatest common factor (GCF) of 55968 and 55988 is 4.

GCF(55968,55988) = 4

We will now calculate the prime factors of 55968 and 55988, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55968 and 55988.

How to find the GCF of 55968 and 55988?

We will first find the prime factorization of 55968 and 55988. After we will calculate the factors of 55968 and 55988 and find the biggest common factor number .

Step-1: Prime Factorization of 55968

Prime factors of 55968 are 2, 3, 11, 53. Prime factorization of 55968 in exponential form is:

55968 = 2⁵ × 3¹ × 11¹ × 53¹

Step-2: Prime Factorization of 55988

Prime factors of 55988 are 2, 13997. Prime factorization of 55988 in exponential form is:

55988 = 2² × 13997¹

Step-3: Factors of 55968

List of positive integer factors of 55968 that divides 55968 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 53, 66, 88, 96, 106, 132, 159, 176, 212, 264, 318, 352, 424, 528, 583, 636, 848, 1056, 1166, 1272, 1696, 1749, 2332, 2544, 3498, 4664, 5088, 6996, 9328, 13992, 18656, 27984

Step-4: Factors of 55988

List of positive integer factors of 55988 that divides 55968 without a remainder.

1, 2, 4, 13997, 27994

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55968 and 55988. The biggest common factor number is the GCF number.
So the greatest common factor 55968 and 55988 is 4.

Also check out the Least Common Multiple of 55968 and 55988