What is the Greatest Common Factor of 24208 and 24216?

Greatest common factor (GCF) of 24208 and 24216 is 8.

GCF(24208,24216) = 8

We will now calculate the prime factors of 24208 and 24216, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24208 and 24216.

How to find the GCF of 24208 and 24216?

We will first find the prime factorization of 24208 and 24216. After we will calculate the factors of 24208 and 24216 and find the biggest common factor number .

Step-1: Prime Factorization of 24208

Prime factors of 24208 are 2, 17, 89. Prime factorization of 24208 in exponential form is:

24208 = 2⁴ × 17¹ × 89¹

Step-2: 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-3: Factors of 24208

List of positive integer factors of 24208 that divides 24208 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 89, 136, 178, 272, 356, 712, 1424, 1513, 3026, 6052, 12104

Step-4: Factors of 24216

List of positive integer factors of 24216 that divides 24208 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24208 and 24216. The biggest common factor number is the GCF number.
So the greatest common factor 24208 and 24216 is 8.

Also check out the Least Common Multiple of 24208 and 24216