What is the Greatest Common Factor of 17945 and 17955?

Greatest common factor (GCF) of 17945 and 17955 is 5.

GCF(17945,17955) = 5

We will now calculate the prime factors of 17945 and 17955, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17945 and 17955.

How to find the GCF of 17945 and 17955?

We will first find the prime factorization of 17945 and 17955. After we will calculate the factors of 17945 and 17955 and find the biggest common factor number .

Step-1: Prime Factorization of 17945

Prime factors of 17945 are 5, 37, 97. Prime factorization of 17945 in exponential form is:

17945 = 5¹ × 37¹ × 97¹

Step-2: 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-3: Factors of 17945

List of positive integer factors of 17945 that divides 17945 without a remainder.

1, 5, 37, 97, 185, 485, 3589

Step-4: Factors of 17955

List of positive integer factors of 17955 that divides 17945 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17945 and 17955. The biggest common factor number is the GCF number.
So the greatest common factor 17945 and 17955 is 5.

Also check out the Least Common Multiple of 17945 and 17955