What is the Greatest Common Factor of 20675 and 20690?

Greatest common factor (GCF) of 20675 and 20690 is 5.

GCF(20675,20690) = 5

We will now calculate the prime factors of 20675 and 20690, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20675 and 20690.

How to find the GCF of 20675 and 20690?

We will first find the prime factorization of 20675 and 20690. After we will calculate the factors of 20675 and 20690 and find the biggest common factor number .

Step-1: Prime Factorization of 20675

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

20675 = 5² × 827¹

Step-2: Prime Factorization of 20690

Prime factors of 20690 are 2, 5, 2069. Prime factorization of 20690 in exponential form is:

20690 = 2¹ × 5¹ × 2069¹

Step-3: Factors of 20675

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

1, 5, 25, 827, 4135

Step-4: Factors of 20690

List of positive integer factors of 20690 that divides 20675 without a remainder.

1, 2, 5, 10, 2069, 4138, 10345

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20675 and 20690. The biggest common factor number is the GCF number.
So the greatest common factor 20675 and 20690 is 5.

Also check out the Least Common Multiple of 20675 and 20690