What is the Greatest Common Factor of 17936 and 17945?

Greatest common factor (GCF) of 17936 and 17945 is 1.

GCF(17936,17945) = 1

We will now calculate the prime factors of 17936 and 17945, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17936 and 17945.

How to find the GCF of 17936 and 17945?

We will first find the prime factorization of 17936 and 17945. After we will calculate the factors of 17936 and 17945 and find the biggest common factor number .

Step-1: Prime Factorization of 17936

Prime factors of 17936 are 2, 19, 59. Prime factorization of 17936 in exponential form is:

17936 = 2⁴ × 19¹ × 59¹

Step-2: 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-3: Factors of 17936

List of positive integer factors of 17936 that divides 17936 without a remainder.

1, 2, 4, 8, 16, 19, 38, 59, 76, 118, 152, 236, 304, 472, 944, 1121, 2242, 4484, 8968

Step-4: Factors of 17945

List of positive integer factors of 17945 that divides 17936 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17936 and 17945. The biggest common factor number is the GCF number.
So the greatest common factor 17936 and 17945 is 1.

Also check out the Least Common Multiple of 17936 and 17945