What is the Greatest Common Factor of 23550 and 23564?

Greatest common factor (GCF) of 23550 and 23564 is 2.

GCF(23550,23564) = 2

We will now calculate the prime factors of 23550 and 23564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23550 and 23564.

How to find the GCF of 23550 and 23564?

We will first find the prime factorization of 23550 and 23564. After we will calculate the factors of 23550 and 23564 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 23564

Prime factors of 23564 are 2, 43, 137. Prime factorization of 23564 in exponential form is:

23564 = 2² × 43¹ × 137¹

Step-3: Factors of 23550

List of positive integer factors of 23550 that divides 23550 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

Step-4: Factors of 23564

List of positive integer factors of 23564 that divides 23550 without a remainder.

1, 2, 4, 43, 86, 137, 172, 274, 548, 5891, 11782

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23550 and 23564. The biggest common factor number is the GCF number.
So the greatest common factor 23550 and 23564 is 2.

Also check out the Least Common Multiple of 23550 and 23564