What is the Greatest Common Factor of 20634 and 20647?

Greatest common factor (GCF) of 20634 and 20647 is 1.

GCF(20634,20647) = 1

We will now calculate the prime factors of 20634 and 20647, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20634 and 20647.

How to find the GCF of 20634 and 20647?

We will first find the prime factorization of 20634 and 20647. After we will calculate the factors of 20634 and 20647 and find the biggest common factor number .

Step-1: Prime Factorization of 20634

Prime factors of 20634 are 2, 3, 19, 181. Prime factorization of 20634 in exponential form is:

20634 = 2¹ × 3¹ × 19¹ × 181¹

Step-2: Prime Factorization of 20647

Prime factors of 20647 are 11, 1877. Prime factorization of 20647 in exponential form is:

20647 = 11¹ × 1877¹

Step-3: Factors of 20634

List of positive integer factors of 20634 that divides 20634 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 181, 362, 543, 1086, 3439, 6878, 10317

Step-4: Factors of 20647

List of positive integer factors of 20647 that divides 20634 without a remainder.

1, 11, 1877

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20634 and 20647. The biggest common factor number is the GCF number.
So the greatest common factor 20634 and 20647 is 1.

Also check out the Least Common Multiple of 20634 and 20647