What is the Greatest Common Factor of 17955 and 17969?

Greatest common factor (GCF) of 17955 and 17969 is 7.

GCF(17955,17969) = 7

We will now calculate the prime factors of 17955 and 17969, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17955 and 17969.

How to find the GCF of 17955 and 17969?

We will first find the prime factorization of 17955 and 17969. After we will calculate the factors of 17955 and 17969 and find the biggest common factor number .

Step-1: Prime Factorization of 17955

Prime factors of 17955 are 3, 5, 7, 19. Prime factorization of 17955 in exponential form is:

17955 = 3³ × 5¹ × 7¹ × 19¹

Step-2: 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-3: Factors of 17955

List of positive integer factors of 17955 that divides 17955 without a remainder.

1, 3, 5, 7, 9, 15, 19, 21, 27, 35, 45, 57, 63, 95, 105, 133, 135, 171, 189, 285, 315, 399, 513, 665, 855, 945, 1197, 1995, 2565, 3591, 5985

Step-4: Factors of 17969

List of positive integer factors of 17969 that divides 17955 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17955 and 17969. The biggest common factor number is the GCF number.
So the greatest common factor 17955 and 17969 is 7.

Also check out the Least Common Multiple of 17955 and 17969