What is the Greatest Common Factor of 17954 and 17971?

Greatest common factor (GCF) of 17954 and 17971 is 1.

GCF(17954,17971) = 1

We will now calculate the prime factors of 17954 and 17971, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17954 and 17971.

How to find the GCF of 17954 and 17971?

We will first find the prime factorization of 17954 and 17971. After we will calculate the factors of 17954 and 17971 and find the biggest common factor number .

Step-1: Prime Factorization of 17954

Prime factors of 17954 are 2, 47, 191. Prime factorization of 17954 in exponential form is:

17954 = 2¹ × 47¹ × 191¹

Step-2: Prime Factorization of 17971

Prime factors of 17971 are 17971. Prime factorization of 17971 in exponential form is:

17971 = 17971¹

Step-3: Factors of 17954

List of positive integer factors of 17954 that divides 17954 without a remainder.

1, 2, 47, 94, 191, 382, 8977

Step-4: Factors of 17971

List of positive integer factors of 17971 that divides 17954 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17954 and 17971. The biggest common factor number is the GCF number.
So the greatest common factor 17954 and 17971 is 1.

Also check out the Least Common Multiple of 17954 and 17971