What is the Greatest Common Factor of 20675 and 20695?

Greatest common factor (GCF) of 20675 and 20695 is 5.

GCF(20675,20695) = 5

We will now calculate the prime factors of 20675 and 20695, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20675 and 20695.

How to find the GCF of 20675 and 20695?

We will first find the prime factorization of 20675 and 20695. After we will calculate the factors of 20675 and 20695 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 20695

Prime factors of 20695 are 5, 4139. Prime factorization of 20695 in exponential form is:

20695 = 5¹ × 4139¹

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 20695

List of positive integer factors of 20695 that divides 20675 without a remainder.

1, 5, 4139

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20675 and 20695. The biggest common factor number is the GCF number.
So the greatest common factor 20675 and 20695 is 5.

Also check out the Least Common Multiple of 20675 and 20695