What is the Greatest Common Factor of 17969 and 17987?

Greatest common factor (GCF) of 17969 and 17987 is 1.

GCF(17969,17987) = 1

We will now calculate the prime factors of 17969 and 17987, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17969 and 17987.

How to find the GCF of 17969 and 17987?

We will first find the prime factorization of 17969 and 17987. After we will calculate the factors of 17969 and 17987 and find the biggest common factor number .

Step-1: Prime Factorization of 17969

Prime factors of 17969 are 7, 17, 151. Prime factorization of 17969 in exponential form is:

17969 = 7¹ × 17¹ × 151¹

Step-2: Prime Factorization of 17987

Prime factors of 17987 are 17987. Prime factorization of 17987 in exponential form is:

17987 = 17987¹

Step-3: Factors of 17969

List of positive integer factors of 17969 that divides 17969 without a remainder.

1, 7, 17, 119, 151, 1057, 2567

Step-4: Factors of 17987

List of positive integer factors of 17987 that divides 17969 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17969 and 17987. The biggest common factor number is the GCF number.
So the greatest common factor 17969 and 17987 is 1.

Also check out the Least Common Multiple of 17969 and 17987