What is the Greatest Common Factor of 23800 and 23820?

Greatest common factor (GCF) of 23800 and 23820 is 20.

GCF(23800,23820) = 20

We will now calculate the prime factors of 23800 and 23820, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23800 and 23820.

How to find the GCF of 23800 and 23820?

We will first find the prime factorization of 23800 and 23820. After we will calculate the factors of 23800 and 23820 and find the biggest common factor number .

Step-1: Prime Factorization of 23800

Prime factors of 23800 are 2, 5, 7, 17. Prime factorization of 23800 in exponential form is:

23800 = 2³ × 5² × 7¹ × 17¹

Step-2: Prime Factorization of 23820

Prime factors of 23820 are 2, 3, 5, 397. Prime factorization of 23820 in exponential form is:

23820 = 2² × 3¹ × 5¹ × 397¹

Step-3: Factors of 23800

List of positive integer factors of 23800 that divides 23800 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 17, 20, 25, 28, 34, 35, 40, 50, 56, 68, 70, 85, 100, 119, 136, 140, 170, 175, 200, 238, 280, 340, 350, 425, 476, 595, 680, 700, 850, 952, 1190, 1400, 1700, 2380, 2975, 3400, 4760, 5950, 11900

Step-4: Factors of 23820

List of positive integer factors of 23820 that divides 23800 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 397, 794, 1191, 1588, 1985, 2382, 3970, 4764, 5955, 7940, 11910

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23800 and 23820. The biggest common factor number is the GCF number.
So the greatest common factor 23800 and 23820 is 20.

Also check out the Least Common Multiple of 23800 and 23820