What is the Greatest Common Factor of 19640 and 19646?

Greatest common factor (GCF) of 19640 and 19646 is 2.

GCF(19640,19646) = 2

We will now calculate the prime factors of 19640 and 19646, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19640 and 19646.

How to find the GCF of 19640 and 19646?

We will first find the prime factorization of 19640 and 19646. After we will calculate the factors of 19640 and 19646 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 19646

Prime factors of 19646 are 2, 11, 19, 47. Prime factorization of 19646 in exponential form is:

19646 = 2¹ × 11¹ × 19¹ × 47¹

Step-3: Factors of 19640

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

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

Step-4: Factors of 19646

List of positive integer factors of 19646 that divides 19640 without a remainder.

1, 2, 11, 19, 22, 38, 47, 94, 209, 418, 517, 893, 1034, 1786, 9823

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19640 and 19646. The biggest common factor number is the GCF number.
So the greatest common factor 19640 and 19646 is 2.

Also check out the Least Common Multiple of 19640 and 19646