What is the Greatest Common Factor of 55936 and 55954?

Greatest common factor (GCF) of 55936 and 55954 is 2.

GCF(55936,55954) = 2

We will now calculate the prime factors of 55936 and 55954, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55936 and 55954.

How to find the GCF of 55936 and 55954?

We will first find the prime factorization of 55936 and 55954. After we will calculate the factors of 55936 and 55954 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 55954

Prime factors of 55954 are 2, 101, 277. Prime factorization of 55954 in exponential form is:

55954 = 2¹ × 101¹ × 277¹

Step-3: Factors of 55936

List of positive integer factors of 55936 that divides 55936 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

Step-4: Factors of 55954

List of positive integer factors of 55954 that divides 55936 without a remainder.

1, 2, 101, 202, 277, 554, 27977

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55936 and 55954. The biggest common factor number is the GCF number.
So the greatest common factor 55936 and 55954 is 2.

Also check out the Least Common Multiple of 55936 and 55954