What is the Greatest Common Factor of 55223 and 55230?

Greatest common factor (GCF) of 55223 and 55230 is 7.

GCF(55223,55230) = 7

We will now calculate the prime factors of 55223 and 55230, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55223 and 55230.

How to find the GCF of 55223 and 55230?

We will first find the prime factorization of 55223 and 55230. After we will calculate the factors of 55223 and 55230 and find the biggest common factor number .

Step-1: Prime Factorization of 55223

Prime factors of 55223 are 7, 23. Prime factorization of 55223 in exponential form is:

55223 = 7⁴ × 23¹

Step-2: Prime Factorization of 55230

Prime factors of 55230 are 2, 3, 5, 7, 263. Prime factorization of 55230 in exponential form is:

55230 = 2¹ × 3¹ × 5¹ × 7¹ × 263¹

Step-3: Factors of 55223

List of positive integer factors of 55223 that divides 55223 without a remainder.

1, 7, 23, 49, 161, 343, 1127, 2401, 7889

Step-4: Factors of 55230

List of positive integer factors of 55230 that divides 55223 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210, 263, 526, 789, 1315, 1578, 1841, 2630, 3682, 3945, 5523, 7890, 9205, 11046, 18410, 27615

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55223 and 55230. The biggest common factor number is the GCF number.
So the greatest common factor 55223 and 55230 is 7.

Also check out the Least Common Multiple of 55223 and 55230