What is the Greatest Common Factor of 23560 and 23575?

Greatest common factor (GCF) of 23560 and 23575 is 5.

GCF(23560,23575) = 5

We will now calculate the prime factors of 23560 and 23575, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23560 and 23575.

How to find the GCF of 23560 and 23575?

We will first find the prime factorization of 23560 and 23575. After we will calculate the factors of 23560 and 23575 and find the biggest common factor number .

Step-1: Prime Factorization of 23560

Prime factors of 23560 are 2, 5, 19, 31. Prime factorization of 23560 in exponential form is:

23560 = 2³ × 5¹ × 19¹ × 31¹

Step-2: Prime Factorization of 23575

Prime factors of 23575 are 5, 23, 41. Prime factorization of 23575 in exponential form is:

23575 = 5² × 23¹ × 41¹

Step-3: Factors of 23560

List of positive integer factors of 23560 that divides 23560 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 31, 38, 40, 62, 76, 95, 124, 152, 155, 190, 248, 310, 380, 589, 620, 760, 1178, 1240, 2356, 2945, 4712, 5890, 11780

Step-4: Factors of 23575

List of positive integer factors of 23575 that divides 23560 without a remainder.

1, 5, 23, 25, 41, 115, 205, 575, 943, 1025, 4715

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23560 and 23575. The biggest common factor number is the GCF number.
So the greatest common factor 23560 and 23575 is 5.

Also check out the Least Common Multiple of 23560 and 23575