What is the Greatest Common Factor of 20635 and 20654?

Greatest common factor (GCF) of 20635 and 20654 is 1.

GCF(20635,20654) = 1

We will now calculate the prime factors of 20635 and 20654, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20635 and 20654.

How to find the GCF of 20635 and 20654?

We will first find the prime factorization of 20635 and 20654. After we will calculate the factors of 20635 and 20654 and find the biggest common factor number .

Step-1: Prime Factorization of 20635

Prime factors of 20635 are 5, 4127. Prime factorization of 20635 in exponential form is:

20635 = 5¹ × 4127¹

Step-2: Prime Factorization of 20654

Prime factors of 20654 are 2, 23, 449. Prime factorization of 20654 in exponential form is:

20654 = 2¹ × 23¹ × 449¹

Step-3: Factors of 20635

List of positive integer factors of 20635 that divides 20635 without a remainder.

1, 5, 4127

Step-4: Factors of 20654

List of positive integer factors of 20654 that divides 20635 without a remainder.

1, 2, 23, 46, 449, 898, 10327

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20635 and 20654. The biggest common factor number is the GCF number.
So the greatest common factor 20635 and 20654 is 1.

Also check out the Least Common Multiple of 20635 and 20654