What is the Greatest Common Factor of 55917 and 55936?

Greatest common factor (GCF) of 55917 and 55936 is 19.

GCF(55917,55936) = 19

We will now calculate the prime factors of 55917 and 55936, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55917 and 55936.

How to find the GCF of 55917 and 55936?

We will first find the prime factorization of 55917 and 55936. After we will calculate the factors of 55917 and 55936 and find the biggest common factor number .

Step-1: Prime Factorization of 55917

Prime factors of 55917 are 3, 19, 109. Prime factorization of 55917 in exponential form is:

55917 = 3³ × 19¹ × 109¹

Step-2: Prime Factorization of 55936

Prime factors of 55936 are 2, 19, 23. Prime factorization of 55936 in exponential form is:

55936 = 2⁷ × 19¹ × 23¹

Step-3: Factors of 55917

List of positive integer factors of 55917 that divides 55917 without a remainder.

1, 3, 9, 19, 27, 57, 109, 171, 327, 513, 981, 2071, 2943, 6213, 18639

Step-4: Factors of 55936

List of positive integer factors of 55936 that divides 55917 without a remainder.

1, 2, 4, 8, 16, 19, 23, 32, 38, 46, 64, 76, 92, 128, 152, 184, 304, 368, 437, 608, 736, 874, 1216, 1472, 1748, 2432, 2944, 3496, 6992, 13984, 27968

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55917 and 55936. The biggest common factor number is the GCF number.
So the greatest common factor 55917 and 55936 is 19.

Also check out the Least Common Multiple of 55917 and 55936