What is the Greatest Common Factor of 17969 and 17977?

Greatest common factor (GCF) of 17969 and 17977 is 1.

GCF(17969,17977) = 1

We will now calculate the prime factors of 17969 and 17977, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17969 and 17977.

How to find the GCF of 17969 and 17977?

We will first find the prime factorization of 17969 and 17977. After we will calculate the factors of 17969 and 17977 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 17977

Prime factors of 17977 are 17977. Prime factorization of 17977 in exponential form is:

17977 = 17977¹

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 17977

List of positive integer factors of 17977 that divides 17969 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17969 and 17977. The biggest common factor number is the GCF number.
So the greatest common factor 17969 and 17977 is 1.

Also check out the Least Common Multiple of 17969 and 17977