What is the Greatest Common Factor of 24634 and 24640?

Greatest common factor (GCF) of 24634 and 24640 is 2.

GCF(24634,24640) = 2

We will now calculate the prime factors of 24634 and 24640, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24634 and 24640.

How to find the GCF of 24634 and 24640?

We will first find the prime factorization of 24634 and 24640. After we will calculate the factors of 24634 and 24640 and find the biggest common factor number .

Step-1: Prime Factorization of 24634

Prime factors of 24634 are 2, 109, 113. Prime factorization of 24634 in exponential form is:

24634 = 2¹ × 109¹ × 113¹

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 24634

List of positive integer factors of 24634 that divides 24634 without a remainder.

1, 2, 109, 113, 218, 226, 12317

Step-4: Factors of 24640

List of positive integer factors of 24640 that divides 24634 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 24634 and 24640. The biggest common factor number is the GCF number.
So the greatest common factor 24634 and 24640 is 2.

Also check out the Least Common Multiple of 24634 and 24640