What is the Greatest Common Factor of 16971 and 16978?

Greatest common factor (GCF) of 16971 and 16978 is 1.

GCF(16971,16978) = 1

We will now calculate the prime factors of 16971 and 16978, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16971 and 16978.

How to find the GCF of 16971 and 16978?

We will first find the prime factorization of 16971 and 16978. After we will calculate the factors of 16971 and 16978 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 16978

Prime factors of 16978 are 2, 13, 653. Prime factorization of 16978 in exponential form is:

16978 = 2¹ × 13¹ × 653¹

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 16978

List of positive integer factors of 16978 that divides 16971 without a remainder.

1, 2, 13, 26, 653, 1306, 8489

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16971 and 16978. The biggest common factor number is the GCF number.
So the greatest common factor 16971 and 16978 is 1.

Also check out the Least Common Multiple of 16971 and 16978