What is the Greatest Common Factor of 23240 and 23254?

Greatest common factor (GCF) of 23240 and 23254 is 14.

GCF(23240,23254) = 14

We will now calculate the prime factors of 23240 and 23254, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23240 and 23254.

How to find the GCF of 23240 and 23254?

We will first find the prime factorization of 23240 and 23254. After we will calculate the factors of 23240 and 23254 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 23254

Prime factors of 23254 are 2, 7, 11, 151. Prime factorization of 23254 in exponential form is:

23254 = 2¹ × 7¹ × 11¹ × 151¹

Step-3: Factors of 23240

List of positive integer factors of 23240 that divides 23240 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

Step-4: Factors of 23254

List of positive integer factors of 23254 that divides 23240 without a remainder.

1, 2, 7, 11, 14, 22, 77, 151, 154, 302, 1057, 1661, 2114, 3322, 11627

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23240 and 23254. The biggest common factor number is the GCF number.
So the greatest common factor 23240 and 23254 is 14.

Also check out the Least Common Multiple of 23240 and 23254