What is the Greatest Common Factor of 16700 and 16714?

Greatest common factor (GCF) of 16700 and 16714 is 2.

GCF(16700,16714) = 2

We will now calculate the prime factors of 16700 and 16714, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16700 and 16714.

How to find the GCF of 16700 and 16714?

We will first find the prime factorization of 16700 and 16714. After we will calculate the factors of 16700 and 16714 and find the biggest common factor number .

Step-1: Prime Factorization of 16700

Prime factors of 16700 are 2, 5, 167. Prime factorization of 16700 in exponential form is:

16700 = 2² × 5² × 167¹

Step-2: Prime Factorization of 16714

Prime factors of 16714 are 2, 61, 137. Prime factorization of 16714 in exponential form is:

16714 = 2¹ × 61¹ × 137¹

Step-3: Factors of 16700

List of positive integer factors of 16700 that divides 16700 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 167, 334, 668, 835, 1670, 3340, 4175, 8350

Step-4: Factors of 16714

List of positive integer factors of 16714 that divides 16700 without a remainder.

1, 2, 61, 122, 137, 274, 8357

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16700 and 16714. The biggest common factor number is the GCF number.
So the greatest common factor 16700 and 16714 is 2.

Also check out the Least Common Multiple of 16700 and 16714