What is the Greatest Common Factor of 20640 and 20659?

Greatest common factor (GCF) of 20640 and 20659 is 1.

GCF(20640,20659) = 1

We will now calculate the prime factors of 20640 and 20659, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20640 and 20659.

How to find the GCF of 20640 and 20659?

We will first find the prime factorization of 20640 and 20659. After we will calculate the factors of 20640 and 20659 and find the biggest common factor number .

Step-1: Prime Factorization of 20640

Prime factors of 20640 are 2, 3, 5, 43. Prime factorization of 20640 in exponential form is:

20640 = 2⁵ × 3¹ × 5¹ × 43¹

Step-2: Prime Factorization of 20659

Prime factors of 20659 are 73, 283. Prime factorization of 20659 in exponential form is:

20659 = 73¹ × 283¹

Step-3: Factors of 20640

List of positive integer factors of 20640 that divides 20640 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 43, 48, 60, 80, 86, 96, 120, 129, 160, 172, 215, 240, 258, 344, 430, 480, 516, 645, 688, 860, 1032, 1290, 1376, 1720, 2064, 2580, 3440, 4128, 5160, 6880, 10320

Step-4: Factors of 20659

List of positive integer factors of 20659 that divides 20640 without a remainder.

1, 73, 283

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20640 and 20659. The biggest common factor number is the GCF number.
So the greatest common factor 20640 and 20659 is 1.

Also check out the Least Common Multiple of 20640 and 20659