What is the Greatest Common Factor of 24629 and 24640?

Greatest common factor (GCF) of 24629 and 24640 is 11.

GCF(24629,24640) = 11

We will now calculate the prime factors of 24629 and 24640, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24629 and 24640.

How to find the GCF of 24629 and 24640?

We will first find the prime factorization of 24629 and 24640. After we will calculate the factors of 24629 and 24640 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 24640

Prime factors of 24640 are 2, 5, 7, 11. Prime factorization of 24640 in exponential form is:

24640 = 2⁶ × 5¹ × 7¹ × 11¹

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 24640

List of positive integer factors of 24640 that divides 24629 without a remainder.

1, 2, 4, 5, 7, 8, 10, 11, 14, 16, 20, 22, 28, 32, 35, 40, 44, 55, 56, 64, 70, 77, 80, 88, 110, 112, 140, 154, 160, 176, 220, 224, 280, 308, 320, 352, 385, 440, 448, 560, 616, 704, 770, 880, 1120, 1232, 1540, 1760, 2240, 2464, 3080, 3520, 4928, 6160, 12320

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24629 and 24640. The biggest common factor number is the GCF number.
So the greatest common factor 24629 and 24640 is 11.

Also check out the Least Common Multiple of 24629 and 24640