What is the Greatest Common Factor of 17936 and 17955?

Greatest common factor (GCF) of 17936 and 17955 is 19.

GCF(17936,17955) = 19

We will now calculate the prime factors of 17936 and 17955, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17936 and 17955.

How to find the GCF of 17936 and 17955?

We will first find the prime factorization of 17936 and 17955. After we will calculate the factors of 17936 and 17955 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 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 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 17955

List of positive integer factors of 17955 that divides 17936 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 17936 and 17955. The biggest common factor number is the GCF number.
So the greatest common factor 17936 and 17955 is 19.

Also check out the Least Common Multiple of 17936 and 17955