What is the Greatest Common Factor of 55230 and 55240?

Greatest common factor (GCF) of 55230 and 55240 is 10.

GCF(55230,55240) = 10

We will now calculate the prime factors of 55230 and 55240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55230 and 55240.

How to find the GCF of 55230 and 55240?

We will first find the prime factorization of 55230 and 55240. After we will calculate the factors of 55230 and 55240 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 55240

Prime factors of 55240 are 2, 5, 1381. Prime factorization of 55240 in exponential form is:

55240 = 2³ × 5¹ × 1381¹

Step-3: Factors of 55230

List of positive integer factors of 55230 that divides 55230 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

Step-4: Factors of 55240

List of positive integer factors of 55240 that divides 55230 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1381, 2762, 5524, 6905, 11048, 13810, 27620

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55230 and 55240. The biggest common factor number is the GCF number.
So the greatest common factor 55230 and 55240 is 10.

Also check out the Least Common Multiple of 55230 and 55240