What is the Greatest Common Factor of 17935 and 17955?

Greatest common factor (GCF) of 17935 and 17955 is 5.

GCF(17935,17955) = 5

We will now calculate the prime factors of 17935 and 17955, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17935 and 17955.

How to find the GCF of 17935 and 17955?

We will first find the prime factorization of 17935 and 17955. After we will calculate the factors of 17935 and 17955 and find the biggest common factor number .

Step-1: Prime Factorization of 17935

Prime factors of 17935 are 5, 17, 211. Prime factorization of 17935 in exponential form is:

17935 = 5¹ × 17¹ × 211¹

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 17935

List of positive integer factors of 17935 that divides 17935 without a remainder.

1, 5, 17, 85, 211, 1055, 3587

Step-4: Factors of 17955

List of positive integer factors of 17955 that divides 17935 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 17935 and 17955. The biggest common factor number is the GCF number.
So the greatest common factor 17935 and 17955 is 5.

Also check out the Least Common Multiple of 17935 and 17955