What is the Greatest Common Factor of 19614 and 19634?

Greatest common factor (GCF) of 19614 and 19634 is 2.

GCF(19614,19634) = 2

We will now calculate the prime factors of 19614 and 19634, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19614 and 19634.

How to find the GCF of 19614 and 19634?

We will first find the prime factorization of 19614 and 19634. After we will calculate the factors of 19614 and 19634 and find the biggest common factor number .

Step-1: Prime Factorization of 19614

Prime factors of 19614 are 2, 3, 7, 467. Prime factorization of 19614 in exponential form is:

19614 = 2¹ × 3¹ × 7¹ × 467¹

Step-2: Prime Factorization of 19634

Prime factors of 19634 are 2, 9817. Prime factorization of 19634 in exponential form is:

19634 = 2¹ × 9817¹

Step-3: Factors of 19614

List of positive integer factors of 19614 that divides 19614 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 467, 934, 1401, 2802, 3269, 6538, 9807

Step-4: Factors of 19634

List of positive integer factors of 19634 that divides 19614 without a remainder.

1, 2, 9817

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19614 and 19634. The biggest common factor number is the GCF number.
So the greatest common factor 19614 and 19634 is 2.

Also check out the Least Common Multiple of 19614 and 19634