What is the Greatest Common Factor of 20670 and 20675?

Greatest common factor (GCF) of 20670 and 20675 is 5.

GCF(20670,20675) = 5

We will now calculate the prime factors of 20670 and 20675, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20670 and 20675.

How to find the GCF of 20670 and 20675?

We will first find the prime factorization of 20670 and 20675. After we will calculate the factors of 20670 and 20675 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 20675

Prime factors of 20675 are 5, 827. Prime factorization of 20675 in exponential form is:

20675 = 5² × 827¹

Step-3: Factors of 20670

List of positive integer factors of 20670 that divides 20670 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

Step-4: Factors of 20675

List of positive integer factors of 20675 that divides 20670 without a remainder.

1, 5, 25, 827, 4135

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20670 and 20675. The biggest common factor number is the GCF number.
So the greatest common factor 20670 and 20675 is 5.

Also check out the Least Common Multiple of 20670 and 20675