What is the Greatest Common Factor of 24616 and 24633?

Greatest common factor (GCF) of 24616 and 24633 is 17.

GCF(24616,24633) = 17

We will now calculate the prime factors of 24616 and 24633, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24616 and 24633.

How to find the GCF of 24616 and 24633?

We will first find the prime factorization of 24616 and 24633. After we will calculate the factors of 24616 and 24633 and find the biggest common factor number .

Step-1: Prime Factorization of 24616

Prime factors of 24616 are 2, 17, 181. Prime factorization of 24616 in exponential form is:

24616 = 2³ × 17¹ × 181¹

Step-2: Prime Factorization of 24633

Prime factors of 24633 are 3, 7, 17, 23. Prime factorization of 24633 in exponential form is:

24633 = 3² × 7¹ × 17¹ × 23¹

Step-3: Factors of 24616

List of positive integer factors of 24616 that divides 24616 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 181, 362, 724, 1448, 3077, 6154, 12308

Step-4: Factors of 24633

List of positive integer factors of 24633 that divides 24616 without a remainder.

1, 3, 7, 9, 17, 21, 23, 51, 63, 69, 119, 153, 161, 207, 357, 391, 483, 1071, 1173, 1449, 2737, 3519, 8211

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24616 and 24633. The biggest common factor number is the GCF number.
So the greatest common factor 24616 and 24633 is 17.

Also check out the Least Common Multiple of 24616 and 24633