What is the Greatest Common Factor of 17946 and 17963?

Greatest common factor (GCF) of 17946 and 17963 is 1.

GCF(17946,17963) = 1

We will now calculate the prime factors of 17946 and 17963, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17946 and 17963.

How to find the GCF of 17946 and 17963?

We will first find the prime factorization of 17946 and 17963. After we will calculate the factors of 17946 and 17963 and find the biggest common factor number .

Step-1: Prime Factorization of 17946

Prime factors of 17946 are 2, 3, 997. Prime factorization of 17946 in exponential form is:

17946 = 2¹ × 3² × 997¹

Step-2: Prime Factorization of 17963

Prime factors of 17963 are 11, 23, 71. Prime factorization of 17963 in exponential form is:

17963 = 11¹ × 23¹ × 71¹

Step-3: Factors of 17946

List of positive integer factors of 17946 that divides 17946 without a remainder.

1, 2, 3, 6, 9, 18, 997, 1994, 2991, 5982, 8973

Step-4: Factors of 17963

List of positive integer factors of 17963 that divides 17946 without a remainder.

1, 11, 23, 71, 253, 781, 1633

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17946 and 17963. The biggest common factor number is the GCF number.
So the greatest common factor 17946 and 17963 is 1.

Also check out the Least Common Multiple of 17946 and 17963