What is the Greatest Common Factor of 23115 and 23124?

Greatest common factor (GCF) of 23115 and 23124 is 3.

GCF(23115,23124) = 3

We will now calculate the prime factors of 23115 and 23124, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23115 and 23124.

How to find the GCF of 23115 and 23124?

We will first find the prime factorization of 23115 and 23124. After we will calculate the factors of 23115 and 23124 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 23124

Prime factors of 23124 are 2, 3, 41, 47. Prime factorization of 23124 in exponential form is:

23124 = 2² × 3¹ × 41¹ × 47¹

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 23124

List of positive integer factors of 23124 that divides 23115 without a remainder.

1, 2, 3, 4, 6, 12, 41, 47, 82, 94, 123, 141, 164, 188, 246, 282, 492, 564, 1927, 3854, 5781, 7708, 11562

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23115 and 23124. The biggest common factor number is the GCF number.
So the greatest common factor 23115 and 23124 is 3.

Also check out the Least Common Multiple of 23115 and 23124