What is the Greatest Common Factor of 19688 and 19692?

Greatest common factor (GCF) of 19688 and 19692 is 4.

GCF(19688,19692) = 4

We will now calculate the prime factors of 19688 and 19692, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19688 and 19692.

How to find the GCF of 19688 and 19692?

We will first find the prime factorization of 19688 and 19692. After we will calculate the factors of 19688 and 19692 and find the biggest common factor number .

Step-1: Prime Factorization of 19688

Prime factors of 19688 are 2, 23, 107. Prime factorization of 19688 in exponential form is:

19688 = 2³ × 23¹ × 107¹

Step-2: 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-3: Factors of 19688

List of positive integer factors of 19688 that divides 19688 without a remainder.

1, 2, 4, 8, 23, 46, 92, 107, 184, 214, 428, 856, 2461, 4922, 9844

Step-4: Factors of 19692

List of positive integer factors of 19692 that divides 19688 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19688 and 19692. The biggest common factor number is the GCF number.
So the greatest common factor 19688 and 19692 is 4.

Also check out the Least Common Multiple of 19688 and 19692