What is the Greatest Common Factor of 24640 and 24657?

Greatest common factor (GCF) of 24640 and 24657 is 1.

GCF(24640,24657) = 1

We will now calculate the prime factors of 24640 and 24657, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24640 and 24657.

How to find the GCF of 24640 and 24657?

We will first find the prime factorization of 24640 and 24657. After we will calculate the factors of 24640 and 24657 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 24657

Prime factors of 24657 are 3, 8219. Prime factorization of 24657 in exponential form is:

24657 = 3¹ × 8219¹

Step-3: Factors of 24640

List of positive integer factors of 24640 that divides 24640 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

Step-4: Factors of 24657

List of positive integer factors of 24657 that divides 24640 without a remainder.

1, 3, 8219

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24640 and 24657. The biggest common factor number is the GCF number.
So the greatest common factor 24640 and 24657 is 1.

Also check out the Least Common Multiple of 24640 and 24657