What is the Greatest Common Factor of 16978 and 16991?

Greatest common factor (GCF) of 16978 and 16991 is 13.

GCF(16978,16991) = 13

We will now calculate the prime factors of 16978 and 16991, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16978 and 16991.

How to find the GCF of 16978 and 16991?

We will first find the prime factorization of 16978 and 16991. After we will calculate the factors of 16978 and 16991 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 16991

Prime factors of 16991 are 13, 1307. Prime factorization of 16991 in exponential form is:

16991 = 13¹ × 1307¹

Step-3: Factors of 16978

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

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

Step-4: Factors of 16991

List of positive integer factors of 16991 that divides 16978 without a remainder.

1, 13, 1307

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16978 and 16991. The biggest common factor number is the GCF number.
So the greatest common factor 16978 and 16991 is 13.

Also check out the Least Common Multiple of 16978 and 16991