What is the Greatest Common Factor of 20652 and 20670?

Greatest common factor (GCF) of 20652 and 20670 is 6.

GCF(20652,20670) = 6

We will now calculate the prime factors of 20652 and 20670, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20652 and 20670.

How to find the GCF of 20652 and 20670?

We will first find the prime factorization of 20652 and 20670. After we will calculate the factors of 20652 and 20670 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 20670

Prime factors of 20670 are 2, 3, 5, 13, 53. Prime factorization of 20670 in exponential form is:

20670 = 2¹ × 3¹ × 5¹ × 13¹ × 53¹

Step-3: Factors of 20652

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

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

Step-4: Factors of 20670

List of positive integer factors of 20670 that divides 20652 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 53, 65, 78, 106, 130, 159, 195, 265, 318, 390, 530, 689, 795, 1378, 1590, 2067, 3445, 4134, 6890, 10335

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20652 and 20670. The biggest common factor number is the GCF number.
So the greatest common factor 20652 and 20670 is 6.

Also check out the Least Common Multiple of 20652 and 20670