What is the Greatest Common Factor of 24629 and 24633?

Greatest common factor (GCF) of 24629 and 24633 is 1.

GCF(24629,24633) = 1

We will now calculate the prime factors of 24629 and 24633, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24629 and 24633.

How to find the GCF of 24629 and 24633?

We will first find the prime factorization of 24629 and 24633. After we will calculate the factors of 24629 and 24633 and find the biggest common factor number .

Step-1: Prime Factorization of 24629

Prime factors of 24629 are 11, 2239. Prime factorization of 24629 in exponential form is:

24629 = 11¹ × 2239¹

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 24629

List of positive integer factors of 24629 that divides 24629 without a remainder.

1, 11, 2239

Step-4: Factors of 24633

List of positive integer factors of 24633 that divides 24629 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 24629 and 24633. The biggest common factor number is the GCF number.
So the greatest common factor 24629 and 24633 is 1.

Also check out the Least Common Multiple of 24629 and 24633