What is the Greatest Common Factor of 20640 and 20651?

Greatest common factor (GCF) of 20640 and 20651 is 1.

GCF(20640,20651) = 1

We will now calculate the prime factors of 20640 and 20651, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20640 and 20651.

How to find the GCF of 20640 and 20651?

We will first find the prime factorization of 20640 and 20651. After we will calculate the factors of 20640 and 20651 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 20651

Prime factors of 20651 are 107, 193. Prime factorization of 20651 in exponential form is:

20651 = 107¹ × 193¹

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 20651

List of positive integer factors of 20651 that divides 20640 without a remainder.

1, 107, 193

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20640 and 20651. The biggest common factor number is the GCF number.
So the greatest common factor 20640 and 20651 is 1.

Also check out the Least Common Multiple of 20640 and 20651