What is the Greatest Common Factor of 23115 and 23120?

Greatest common factor (GCF) of 23115 and 23120 is 5.

GCF(23115,23120) = 5

We will now calculate the prime factors of 23115 and 23120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23115 and 23120.

How to find the GCF of 23115 and 23120?

We will first find the prime factorization of 23115 and 23120. After we will calculate the factors of 23115 and 23120 and find the biggest common factor number .

Step-1: Prime Factorization of 23115

Prime factors of 23115 are 3, 5, 23, 67. Prime factorization of 23115 in exponential form is:

23115 = 3¹ × 5¹ × 23¹ × 67¹

Step-2: Prime Factorization of 23120

Prime factors of 23120 are 2, 5, 17. Prime factorization of 23120 in exponential form is:

23120 = 2⁴ × 5¹ × 17²

Step-3: Factors of 23115

List of positive integer factors of 23115 that divides 23115 without a remainder.

1, 3, 5, 15, 23, 67, 69, 115, 201, 335, 345, 1005, 1541, 4623, 7705

Step-4: Factors of 23120

List of positive integer factors of 23120 that divides 23115 without a remainder.

1, 2, 4, 5, 8, 10, 16, 17, 20, 34, 40, 68, 80, 85, 136, 170, 272, 289, 340, 578, 680, 1156, 1360, 1445, 2312, 2890, 4624, 5780, 11560

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23115 and 23120. The biggest common factor number is the GCF number.
So the greatest common factor 23115 and 23120 is 5.

Also check out the Least Common Multiple of 23115 and 23120