What is the Greatest Common Factor of 16932 and 16949?

Greatest common factor (GCF) of 16932 and 16949 is 17.

GCF(16932,16949) = 17

We will now calculate the prime factors of 16932 and 16949, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16932 and 16949.

How to find the GCF of 16932 and 16949?

We will first find the prime factorization of 16932 and 16949. After we will calculate the factors of 16932 and 16949 and find the biggest common factor number .

Step-1: Prime Factorization of 16932

Prime factors of 16932 are 2, 3, 17, 83. Prime factorization of 16932 in exponential form is:

16932 = 2² × 3¹ × 17¹ × 83¹

Step-2: Prime Factorization of 16949

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

16949 = 17¹ × 997¹

Step-3: Factors of 16932

List of positive integer factors of 16932 that divides 16932 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 83, 102, 166, 204, 249, 332, 498, 996, 1411, 2822, 4233, 5644, 8466

Step-4: Factors of 16949

List of positive integer factors of 16949 that divides 16932 without a remainder.

1, 17, 997

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16932 and 16949. The biggest common factor number is the GCF number.
So the greatest common factor 16932 and 16949 is 17.

Also check out the Least Common Multiple of 16932 and 16949