What is the Greatest Common Factor of 55223 and 55240?

Greatest common factor (GCF) of 55223 and 55240 is 1.

GCF(55223,55240) = 1

We will now calculate the prime factors of 55223 and 55240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55223 and 55240.

How to find the GCF of 55223 and 55240?

We will first find the prime factorization of 55223 and 55240. After we will calculate the factors of 55223 and 55240 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 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 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 55240

List of positive integer factors of 55240 that divides 55223 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 55223 and 55240. The biggest common factor number is the GCF number.
So the greatest common factor 55223 and 55240 is 1.

Also check out the Least Common Multiple of 55223 and 55240