What is the Greatest Common Factor of 24232 and 24245?

Greatest common factor (GCF) of 24232 and 24245 is 13.

GCF(24232,24245) = 13

We will now calculate the prime factors of 24232 and 24245, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24232 and 24245.

How to find the GCF of 24232 and 24245?

We will first find the prime factorization of 24232 and 24245. After we will calculate the factors of 24232 and 24245 and find the biggest common factor number .

Step-1: Prime Factorization of 24232

Prime factors of 24232 are 2, 13, 233. Prime factorization of 24232 in exponential form is:

24232 = 2³ × 13¹ × 233¹

Step-2: Prime Factorization of 24245

Prime factors of 24245 are 5, 13, 373. Prime factorization of 24245 in exponential form is:

24245 = 5¹ × 13¹ × 373¹

Step-3: Factors of 24232

List of positive integer factors of 24232 that divides 24232 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 233, 466, 932, 1864, 3029, 6058, 12116

Step-4: Factors of 24245

List of positive integer factors of 24245 that divides 24232 without a remainder.

1, 5, 13, 65, 373, 1865, 4849

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24232 and 24245. The biggest common factor number is the GCF number.
So the greatest common factor 24232 and 24245 is 13.

Also check out the Least Common Multiple of 24232 and 24245