What is the Greatest Common Factor of 23090 and 23100?

Greatest common factor (GCF) of 23090 and 23100 is 10.

GCF(23090,23100) = 10

We will now calculate the prime factors of 23090 and 23100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23090 and 23100.

How to find the GCF of 23090 and 23100?

We will first find the prime factorization of 23090 and 23100. After we will calculate the factors of 23090 and 23100 and find the biggest common factor number .

Step-1: Prime Factorization of 23090

Prime factors of 23090 are 2, 5, 2309. Prime factorization of 23090 in exponential form is:

23090 = 2¹ × 5¹ × 2309¹

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 23090

List of positive integer factors of 23090 that divides 23090 without a remainder.

1, 2, 5, 10, 2309, 4618, 11545

Step-4: Factors of 23100

List of positive integer factors of 23100 that divides 23090 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 23090 and 23100. The biggest common factor number is the GCF number.
So the greatest common factor 23090 and 23100 is 10.

Also check out the Least Common Multiple of 23090 and 23100