What is the Greatest Common Factor of 20640 and 20652?

Greatest common factor (GCF) of 20640 and 20652 is 12.

GCF(20640,20652) = 12

We will now calculate the prime factors of 20640 and 20652, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20640 and 20652.

How to find the GCF of 20640 and 20652?

We will first find the prime factorization of 20640 and 20652. After we will calculate the factors of 20640 and 20652 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 20652

Prime factors of 20652 are 2, 3, 1721. Prime factorization of 20652 in exponential form is:

20652 = 2² × 3¹ × 1721¹

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 20652

List of positive integer factors of 20652 that divides 20640 without a remainder.

1, 2, 3, 4, 6, 12, 1721, 3442, 5163, 6884, 10326

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20640 and 20652. The biggest common factor number is the GCF number.
So the greatest common factor 20640 and 20652 is 12.

Also check out the Least Common Multiple of 20640 and 20652