What is the Greatest Common Factor of 24616 and 24629?

Greatest common factor (GCF) of 24616 and 24629 is 1.

GCF(24616,24629) = 1

We will now calculate the prime factors of 24616 and 24629, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24616 and 24629.

How to find the GCF of 24616 and 24629?

We will first find the prime factorization of 24616 and 24629. After we will calculate the factors of 24616 and 24629 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 24629

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

24629 = 11¹ × 2239¹

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 24629

List of positive integer factors of 24629 that divides 24616 without a remainder.

1, 11, 2239

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24616 and 24629. The biggest common factor number is the GCF number.
So the greatest common factor 24616 and 24629 is 1.

Also check out the Least Common Multiple of 24616 and 24629