What is the Greatest Common Factor of 55216 and 55235?

Greatest common factor (GCF) of 55216 and 55235 is 1.

GCF(55216,55235) = 1

We will now calculate the prime factors of 55216 and 55235, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55216 and 55235.

How to find the GCF of 55216 and 55235?

We will first find the prime factorization of 55216 and 55235. After we will calculate the factors of 55216 and 55235 and find the biggest common factor number .

Step-1: Prime Factorization of 55216

Prime factors of 55216 are 2, 7, 17, 29. Prime factorization of 55216 in exponential form is:

55216 = 2⁴ × 7¹ × 17¹ × 29¹

Step-2: Prime Factorization of 55235

Prime factors of 55235 are 5, 11047. Prime factorization of 55235 in exponential form is:

55235 = 5¹ × 11047¹

Step-3: Factors of 55216

List of positive integer factors of 55216 that divides 55216 without a remainder.

1, 2, 4, 7, 8, 14, 16, 17, 28, 29, 34, 56, 58, 68, 112, 116, 119, 136, 203, 232, 238, 272, 406, 464, 476, 493, 812, 952, 986, 1624, 1904, 1972, 3248, 3451, 3944, 6902, 7888, 13804, 27608

Step-4: Factors of 55235

List of positive integer factors of 55235 that divides 55216 without a remainder.

1, 5, 11047

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55216 and 55235. The biggest common factor number is the GCF number.
So the greatest common factor 55216 and 55235 is 1.

Also check out the Least Common Multiple of 55216 and 55235