What is the Greatest Common Factor of 17945 and 17965?

Greatest common factor (GCF) of 17945 and 17965 is 5.

GCF(17945,17965) = 5

We will now calculate the prime factors of 17945 and 17965, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17945 and 17965.

How to find the GCF of 17945 and 17965?

We will first find the prime factorization of 17945 and 17965. After we will calculate the factors of 17945 and 17965 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 17965

Prime factors of 17965 are 5, 3593. Prime factorization of 17965 in exponential form is:

17965 = 5¹ × 3593¹

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 17965

List of positive integer factors of 17965 that divides 17945 without a remainder.

1, 5, 3593

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17945 and 17965. The biggest common factor number is the GCF number.
So the greatest common factor 17945 and 17965 is 5.

Also check out the Least Common Multiple of 17945 and 17965