What is the Greatest Common Factor of 23530 and 23540?

Greatest common factor (GCF) of 23530 and 23540 is 10.

GCF(23530,23540) = 10

We will now calculate the prime factors of 23530 and 23540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23530 and 23540.

How to find the GCF of 23530 and 23540?

We will first find the prime factorization of 23530 and 23540. After we will calculate the factors of 23530 and 23540 and find the biggest common factor number .

Step-1: Prime Factorization of 23530

Prime factors of 23530 are 2, 5, 13, 181. Prime factorization of 23530 in exponential form is:

23530 = 2¹ × 5¹ × 13¹ × 181¹

Step-2: Prime Factorization of 23540

Prime factors of 23540 are 2, 5, 11, 107. Prime factorization of 23540 in exponential form is:

23540 = 2² × 5¹ × 11¹ × 107¹

Step-3: Factors of 23530

List of positive integer factors of 23530 that divides 23530 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 181, 362, 905, 1810, 2353, 4706, 11765

Step-4: Factors of 23540

List of positive integer factors of 23540 that divides 23530 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 107, 110, 214, 220, 428, 535, 1070, 1177, 2140, 2354, 4708, 5885, 11770

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23530 and 23540. The biggest common factor number is the GCF number.
So the greatest common factor 23530 and 23540 is 10.

Also check out the Least Common Multiple of 23530 and 23540