What is the Greatest Common Factor of 23545 and 23550?

Greatest common factor (GCF) of 23545 and 23550 is 5.

GCF(23545,23550) = 5

We will now calculate the prime factors of 23545 and 23550, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23545 and 23550.

How to find the GCF of 23545 and 23550?

We will first find the prime factorization of 23545 and 23550. After we will calculate the factors of 23545 and 23550 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 23550

Prime factors of 23550 are 2, 3, 5, 157. Prime factorization of 23550 in exponential form is:

23550 = 2¹ × 3¹ × 5² × 157¹

Step-3: Factors of 23545

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

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

Step-4: Factors of 23550

List of positive integer factors of 23550 that divides 23545 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 157, 314, 471, 785, 942, 1570, 2355, 3925, 4710, 7850, 11775

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23545 and 23550. The biggest common factor number is the GCF number.
So the greatest common factor 23545 and 23550 is 5.

Also check out the Least Common Multiple of 23545 and 23550