What is the Greatest Common Factor of 19614 and 19628?

Greatest common factor (GCF) of 19614 and 19628 is 14.

GCF(19614,19628) = 14

We will now calculate the prime factors of 19614 and 19628, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19614 and 19628.

How to find the GCF of 19614 and 19628?

We will first find the prime factorization of 19614 and 19628. After we will calculate the factors of 19614 and 19628 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 19628

Prime factors of 19628 are 2, 7, 701. Prime factorization of 19628 in exponential form is:

19628 = 2² × 7¹ × 701¹

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 19628

List of positive integer factors of 19628 that divides 19614 without a remainder.

1, 2, 4, 7, 14, 28, 701, 1402, 2804, 4907, 9814

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19614 and 19628. The biggest common factor number is the GCF number.
So the greatest common factor 19614 and 19628 is 14.

Also check out the Least Common Multiple of 19614 and 19628