What is the Greatest Common Factor of 16971 and 16979?

Greatest common factor (GCF) of 16971 and 16979 is 1.

GCF(16971,16979) = 1

We will now calculate the prime factors of 16971 and 16979, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16971 and 16979.

How to find the GCF of 16971 and 16979?

We will first find the prime factorization of 16971 and 16979. After we will calculate the factors of 16971 and 16979 and find the biggest common factor number .

Step-1: Prime Factorization of 16971

Prime factors of 16971 are 3, 5657. Prime factorization of 16971 in exponential form is:

16971 = 3¹ × 5657¹

Step-2: Prime Factorization of 16979

Prime factors of 16979 are 16979. Prime factorization of 16979 in exponential form is:

16979 = 16979¹

Step-3: Factors of 16971

List of positive integer factors of 16971 that divides 16971 without a remainder.

1, 3, 5657

Step-4: Factors of 16979

List of positive integer factors of 16979 that divides 16971 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16971 and 16979. The biggest common factor number is the GCF number.
So the greatest common factor 16971 and 16979 is 1.

Also check out the Least Common Multiple of 16971 and 16979