What is the Greatest Common Factor of 20634 and 20649?

Greatest common factor (GCF) of 20634 and 20649 is 3.

GCF(20634,20649) = 3

We will now calculate the prime factors of 20634 and 20649, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20634 and 20649.

How to find the GCF of 20634 and 20649?

We will first find the prime factorization of 20634 and 20649. After we will calculate the factors of 20634 and 20649 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 20649

Prime factors of 20649 are 3, 6883. Prime factorization of 20649 in exponential form is:

20649 = 3¹ × 6883¹

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 20649

List of positive integer factors of 20649 that divides 20634 without a remainder.

1, 3, 6883

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20634 and 20649. The biggest common factor number is the GCF number.
So the greatest common factor 20634 and 20649 is 3.

Also check out the Least Common Multiple of 20634 and 20649