What is the Greatest Common Factor of 19626 and 19640?

Greatest common factor (GCF) of 19626 and 19640 is 2.

GCF(19626,19640) = 2

We will now calculate the prime factors of 19626 and 19640, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19626 and 19640.

How to find the GCF of 19626 and 19640?

We will first find the prime factorization of 19626 and 19640. After we will calculate the factors of 19626 and 19640 and find the biggest common factor number .

Step-1: Prime Factorization of 19626

Prime factors of 19626 are 2, 3, 3271. Prime factorization of 19626 in exponential form is:

19626 = 2¹ × 3¹ × 3271¹

Step-2: Prime Factorization of 19640

Prime factors of 19640 are 2, 5, 491. Prime factorization of 19640 in exponential form is:

19640 = 2³ × 5¹ × 491¹

Step-3: Factors of 19626

List of positive integer factors of 19626 that divides 19626 without a remainder.

1, 2, 3, 6, 3271, 6542, 9813

Step-4: Factors of 19640

List of positive integer factors of 19640 that divides 19626 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 491, 982, 1964, 2455, 3928, 4910, 9820

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19626 and 19640. The biggest common factor number is the GCF number.
So the greatest common factor 19626 and 19640 is 2.

Also check out the Least Common Multiple of 19626 and 19640