What is the Greatest Common Factor of 23540 and 23545?

Greatest common factor (GCF) of 23540 and 23545 is 5.

GCF(23540,23545) = 5

We will now calculate the prime factors of 23540 and 23545, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23540 and 23545.

How to find the GCF of 23540 and 23545?

We will first find the prime factorization of 23540 and 23545. After we will calculate the factors of 23540 and 23545 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 23545

Prime factors of 23545 are 5, 17, 277. Prime factorization of 23545 in exponential form is:

23545 = 5¹ × 17¹ × 277¹

Step-3: Factors of 23540

List of positive integer factors of 23540 that divides 23540 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

Step-4: Factors of 23545

List of positive integer factors of 23545 that divides 23540 without a remainder.

1, 5, 17, 85, 277, 1385, 4709

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23540 and 23545. The biggest common factor number is the GCF number.
So the greatest common factor 23540 and 23545 is 5.

Also check out the Least Common Multiple of 23540 and 23545