What is the Greatest Common Factor of 19632 and 19649?

Greatest common factor (GCF) of 19632 and 19649 is 1.

GCF(19632,19649) = 1

We will now calculate the prime factors of 19632 and 19649, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19632 and 19649.

How to find the GCF of 19632 and 19649?

We will first find the prime factorization of 19632 and 19649. After we will calculate the factors of 19632 and 19649 and find the biggest common factor number .

Step-1: Prime Factorization of 19632

Prime factors of 19632 are 2, 3, 409. Prime factorization of 19632 in exponential form is:

19632 = 2⁴ × 3¹ × 409¹

Step-2: Prime Factorization of 19649

Prime factors of 19649 are 7, 401. Prime factorization of 19649 in exponential form is:

19649 = 7² × 401¹

Step-3: Factors of 19632

List of positive integer factors of 19632 that divides 19632 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 409, 818, 1227, 1636, 2454, 3272, 4908, 6544, 9816

Step-4: Factors of 19649

List of positive integer factors of 19649 that divides 19632 without a remainder.

1, 7, 49, 401, 2807

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19632 and 19649. The biggest common factor number is the GCF number.
So the greatest common factor 19632 and 19649 is 1.

Also check out the Least Common Multiple of 19632 and 19649