What is the Greatest Common Factor of 23100 and 23117?

Greatest common factor (GCF) of 23100 and 23117 is 1.

GCF(23100,23117) = 1

We will now calculate the prime factors of 23100 and 23117, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23100 and 23117.

How to find the GCF of 23100 and 23117?

We will first find the prime factorization of 23100 and 23117. After we will calculate the factors of 23100 and 23117 and find the biggest common factor number .

Step-1: Prime Factorization of 23100

Prime factors of 23100 are 2, 3, 5, 7, 11. Prime factorization of 23100 in exponential form is:

23100 = 2² × 3¹ × 5² × 7¹ × 11¹

Step-2: Prime Factorization of 23117

Prime factors of 23117 are 23117. Prime factorization of 23117 in exponential form is:

23117 = 23117¹

Step-3: Factors of 23100

List of positive integer factors of 23100 that divides 23100 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 11, 12, 14, 15, 20, 21, 22, 25, 28, 30, 33, 35, 42, 44, 50, 55, 60, 66, 70, 75, 77, 84, 100, 105, 110, 132, 140, 150, 154, 165, 175, 210, 220, 231, 275, 300, 308, 330, 350, 385, 420, 462, 525, 550, 660, 700, 770, 825, 924, 1050, 1100, 1155, 1540, 1650, 1925, 2100, 2310, 3300, 3850, 4620, 5775, 7700, 11550

Step-4: Factors of 23117

List of positive integer factors of 23117 that divides 23100 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23100 and 23117. The biggest common factor number is the GCF number.
So the greatest common factor 23100 and 23117 is 1.

Also check out the Least Common Multiple of 23100 and 23117