What is the Greatest Common Factor of 23140 and 23154?

Greatest common factor (GCF) of 23140 and 23154 is 2.

GCF(23140,23154) = 2

We will now calculate the prime factors of 23140 and 23154, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23140 and 23154.

How to find the GCF of 23140 and 23154?

We will first find the prime factorization of 23140 and 23154. After we will calculate the factors of 23140 and 23154 and find the biggest common factor number .

Step-1: Prime Factorization of 23140

Prime factors of 23140 are 2, 5, 13, 89. Prime factorization of 23140 in exponential form is:

23140 = 2² × 5¹ × 13¹ × 89¹

Step-2: Prime Factorization of 23154

Prime factors of 23154 are 2, 3, 17, 227. Prime factorization of 23154 in exponential form is:

23154 = 2¹ × 3¹ × 17¹ × 227¹

Step-3: Factors of 23140

List of positive integer factors of 23140 that divides 23140 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 89, 130, 178, 260, 356, 445, 890, 1157, 1780, 2314, 4628, 5785, 11570

Step-4: Factors of 23154

List of positive integer factors of 23154 that divides 23140 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 227, 454, 681, 1362, 3859, 7718, 11577

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23140 and 23154. The biggest common factor number is the GCF number.
So the greatest common factor 23140 and 23154 is 2.

Also check out the Least Common Multiple of 23140 and 23154