What is the Greatest Common Factor of 16973 and 16978?

Greatest common factor (GCF) of 16973 and 16978 is 1.

GCF(16973,16978) = 1

We will now calculate the prime factors of 16973 and 16978, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16973 and 16978.

How to find the GCF of 16973 and 16978?

We will first find the prime factorization of 16973 and 16978. After we will calculate the factors of 16973 and 16978 and find the biggest common factor number .

Step-1: Prime Factorization of 16973

Prime factors of 16973 are 11, 1543. Prime factorization of 16973 in exponential form is:

16973 = 11¹ × 1543¹

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 16973

List of positive integer factors of 16973 that divides 16973 without a remainder.

1, 11, 1543

Step-4: Factors of 16978

List of positive integer factors of 16978 that divides 16973 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16973 and 16978. The biggest common factor number is the GCF number.
So the greatest common factor 16973 and 16978 is 1.

Also check out the Least Common Multiple of 16973 and 16978