What is the Greatest Common Factor of 23228 and 23240?

Greatest common factor (GCF) of 23228 and 23240 is 4.

GCF(23228,23240) = 4

We will now calculate the prime factors of 23228 and 23240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23228 and 23240.

How to find the GCF of 23228 and 23240?

We will first find the prime factorization of 23228 and 23240. After we will calculate the factors of 23228 and 23240 and find the biggest common factor number .

Step-1: Prime Factorization of 23228

Prime factors of 23228 are 2, 5807. Prime factorization of 23228 in exponential form is:

23228 = 2² × 5807¹

Step-2: Prime Factorization of 23240

Prime factors of 23240 are 2, 5, 7, 83. Prime factorization of 23240 in exponential form is:

23240 = 2³ × 5¹ × 7¹ × 83¹

Step-3: Factors of 23228

List of positive integer factors of 23228 that divides 23228 without a remainder.

1, 2, 4, 5807, 11614

Step-4: Factors of 23240

List of positive integer factors of 23240 that divides 23228 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 83, 140, 166, 280, 332, 415, 581, 664, 830, 1162, 1660, 2324, 2905, 3320, 4648, 5810, 11620

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23228 and 23240. The biggest common factor number is the GCF number.
So the greatest common factor 23228 and 23240 is 4.

Also check out the Least Common Multiple of 23228 and 23240