What is the Greatest Common Factor of 16949 and 16961?

Greatest common factor (GCF) of 16949 and 16961 is 1.

GCF(16949,16961) = 1

We will now calculate the prime factors of 16949 and 16961, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16949 and 16961.

How to find the GCF of 16949 and 16961?

We will first find the prime factorization of 16949 and 16961. After we will calculate the factors of 16949 and 16961 and find the biggest common factor number .

Step-1: Prime Factorization of 16949

Prime factors of 16949 are 17, 997. Prime factorization of 16949 in exponential form is:

16949 = 17¹ × 997¹

Step-2: Prime Factorization of 16961

Prime factors of 16961 are 7, 2423. Prime factorization of 16961 in exponential form is:

16961 = 7¹ × 2423¹

Step-3: Factors of 16949

List of positive integer factors of 16949 that divides 16949 without a remainder.

1, 17, 997

Step-4: Factors of 16961

List of positive integer factors of 16961 that divides 16949 without a remainder.

1, 7, 2423

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16949 and 16961. The biggest common factor number is the GCF number.
So the greatest common factor 16949 and 16961 is 1.

Also check out the Least Common Multiple of 16949 and 16961