What is the Greatest Common Factor of 19692 and 19696?

Greatest common factor (GCF) of 19692 and 19696 is 4.

GCF(19692,19696) = 4

We will now calculate the prime factors of 19692 and 19696, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19692 and 19696.

How to find the GCF of 19692 and 19696?

We will first find the prime factorization of 19692 and 19696. After we will calculate the factors of 19692 and 19696 and find the biggest common factor number .

Step-1: Prime Factorization of 19692

Prime factors of 19692 are 2, 3, 547. Prime factorization of 19692 in exponential form is:

19692 = 2² × 3² × 547¹

Step-2: Prime Factorization of 19696

Prime factors of 19696 are 2, 1231. Prime factorization of 19696 in exponential form is:

19696 = 2⁴ × 1231¹

Step-3: Factors of 19692

List of positive integer factors of 19692 that divides 19692 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 547, 1094, 1641, 2188, 3282, 4923, 6564, 9846

Step-4: Factors of 19696

List of positive integer factors of 19696 that divides 19692 without a remainder.

1, 2, 4, 8, 16, 1231, 2462, 4924, 9848

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19692 and 19696. The biggest common factor number is the GCF number.
So the greatest common factor 19692 and 19696 is 4.

Also check out the Least Common Multiple of 19692 and 19696