What is the Greatest Common Factor of 24216 and 24235?

Greatest common factor (GCF) of 24216 and 24235 is 1.

GCF(24216,24235) = 1

We will now calculate the prime factors of 24216 and 24235, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24216 and 24235.

How to find the GCF of 24216 and 24235?

We will first find the prime factorization of 24216 and 24235. After we will calculate the factors of 24216 and 24235 and find the biggest common factor number .

Step-1: Prime Factorization of 24216

Prime factors of 24216 are 2, 3, 1009. Prime factorization of 24216 in exponential form is:

24216 = 2³ × 3¹ × 1009¹

Step-2: Prime Factorization of 24235

Prime factors of 24235 are 5, 37, 131. Prime factorization of 24235 in exponential form is:

24235 = 5¹ × 37¹ × 131¹

Step-3: Factors of 24216

List of positive integer factors of 24216 that divides 24216 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1009, 2018, 3027, 4036, 6054, 8072, 12108

Step-4: Factors of 24235

List of positive integer factors of 24235 that divides 24216 without a remainder.

1, 5, 37, 131, 185, 655, 4847

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24216 and 24235. The biggest common factor number is the GCF number.
So the greatest common factor 24216 and 24235 is 1.

Also check out the Least Common Multiple of 24216 and 24235