What is the Greatest Common Factor of 23100 and 23105?

Greatest common factor (GCF) of 23100 and 23105 is 5.

GCF(23100,23105) = 5

We will now calculate the prime factors of 23100 and 23105, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23100 and 23105.

How to find the GCF of 23100 and 23105?

We will first find the prime factorization of 23100 and 23105. After we will calculate the factors of 23100 and 23105 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 23105

Prime factors of 23105 are 5, 4621. Prime factorization of 23105 in exponential form is:

23105 = 5¹ × 4621¹

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 23105

List of positive integer factors of 23105 that divides 23100 without a remainder.

1, 5, 4621

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23100 and 23105. The biggest common factor number is the GCF number.
So the greatest common factor 23100 and 23105 is 5.

Also check out the Least Common Multiple of 23100 and 23105