What is the Greatest Common Factor of 16956 and 16969?

Greatest common factor (GCF) of 16956 and 16969 is 1.

GCF(16956,16969) = 1

We will now calculate the prime factors of 16956 and 16969, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16956 and 16969.

How to find the GCF of 16956 and 16969?

We will first find the prime factorization of 16956 and 16969. After we will calculate the factors of 16956 and 16969 and find the biggest common factor number .

Step-1: Prime Factorization of 16956

Prime factors of 16956 are 2, 3, 157. Prime factorization of 16956 in exponential form is:

16956 = 2² × 3³ × 157¹

Step-2: Prime Factorization of 16969

Prime factors of 16969 are 71, 239. Prime factorization of 16969 in exponential form is:

16969 = 71¹ × 239¹

Step-3: Factors of 16956

List of positive integer factors of 16956 that divides 16956 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 157, 314, 471, 628, 942, 1413, 1884, 2826, 4239, 5652, 8478

Step-4: Factors of 16969

List of positive integer factors of 16969 that divides 16956 without a remainder.

1, 71, 239

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16956 and 16969. The biggest common factor number is the GCF number.
So the greatest common factor 16956 and 16969 is 1.

Also check out the Least Common Multiple of 16956 and 16969