What is the Greatest Common Factor of 19616 and 19632?

Greatest common factor (GCF) of 19616 and 19632 is 16.

GCF(19616,19632) = 16

We will now calculate the prime factors of 19616 and 19632, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19616 and 19632.

How to find the GCF of 19616 and 19632?

We will first find the prime factorization of 19616 and 19632. After we will calculate the factors of 19616 and 19632 and find the biggest common factor number .

Step-1: Prime Factorization of 19616

Prime factors of 19616 are 2, 613. Prime factorization of 19616 in exponential form is:

19616 = 2⁵ × 613¹

Step-2: 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-3: Factors of 19616

List of positive integer factors of 19616 that divides 19616 without a remainder.

1, 2, 4, 8, 16, 32, 613, 1226, 2452, 4904, 9808

Step-4: Factors of 19632

List of positive integer factors of 19632 that divides 19616 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19616 and 19632. The biggest common factor number is the GCF number.
So the greatest common factor 19616 and 19632 is 16.

Also check out the Least Common Multiple of 19616 and 19632