What is the Greatest Common Factor of 23080 and 23100?

Greatest common factor (GCF) of 23080 and 23100 is 20.

GCF(23080,23100) = 20

We will now calculate the prime factors of 23080 and 23100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23080 and 23100.

How to find the GCF of 23080 and 23100?

We will first find the prime factorization of 23080 and 23100. After we will calculate the factors of 23080 and 23100 and find the biggest common factor number .

Step-1: Prime Factorization of 23080

Prime factors of 23080 are 2, 5, 577. Prime factorization of 23080 in exponential form is:

23080 = 2³ × 5¹ × 577¹

Step-2: 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-3: Factors of 23080

List of positive integer factors of 23080 that divides 23080 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 577, 1154, 2308, 2885, 4616, 5770, 11540

Step-4: Factors of 23100

List of positive integer factors of 23100 that divides 23080 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23080 and 23100. The biggest common factor number is the GCF number.
So the greatest common factor 23080 and 23100 is 20.

Also check out the Least Common Multiple of 23080 and 23100