What is the Greatest Common Factor of 55216 and 55220?

Greatest common factor (GCF) of 55216 and 55220 is 4.

GCF(55216,55220) = 4

We will now calculate the prime factors of 55216 and 55220, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55216 and 55220.

How to find the GCF of 55216 and 55220?

We will first find the prime factorization of 55216 and 55220. After we will calculate the factors of 55216 and 55220 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 55220

Prime factors of 55220 are 2, 5, 11, 251. Prime factorization of 55220 in exponential form is:

55220 = 2² × 5¹ × 11¹ × 251¹

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 55220

List of positive integer factors of 55220 that divides 55216 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220, 251, 502, 1004, 1255, 2510, 2761, 5020, 5522, 11044, 13805, 27610

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55216 and 55220. The biggest common factor number is the GCF number.
So the greatest common factor 55216 and 55220 is 4.

Also check out the Least Common Multiple of 55216 and 55220