What is the Greatest Common Factor of 19670 and 19688?

Greatest common factor (GCF) of 19670 and 19688 is 2.

GCF(19670,19688) = 2

We will now calculate the prime factors of 19670 and 19688, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19670 and 19688.

How to find the GCF of 19670 and 19688?

We will first find the prime factorization of 19670 and 19688. After we will calculate the factors of 19670 and 19688 and find the biggest common factor number .

Step-1: Prime Factorization of 19670

Prime factors of 19670 are 2, 5, 7, 281. Prime factorization of 19670 in exponential form is:

19670 = 2¹ × 5¹ × 7¹ × 281¹

Step-2: 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-3: Factors of 19670

List of positive integer factors of 19670 that divides 19670 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 281, 562, 1405, 1967, 2810, 3934, 9835

Step-4: Factors of 19688

List of positive integer factors of 19688 that divides 19670 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19670 and 19688. The biggest common factor number is the GCF number.
So the greatest common factor 19670 and 19688 is 2.

Also check out the Least Common Multiple of 19670 and 19688