What is the Greatest Common Factor of 17952 and 17963?

Greatest common factor (GCF) of 17952 and 17963 is 11.

GCF(17952,17963) = 11

We will now calculate the prime factors of 17952 and 17963, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17952 and 17963.

How to find the GCF of 17952 and 17963?

We will first find the prime factorization of 17952 and 17963. After we will calculate the factors of 17952 and 17963 and find the biggest common factor number .

Step-1: Prime Factorization of 17952

Prime factors of 17952 are 2, 3, 11, 17. Prime factorization of 17952 in exponential form is:

17952 = 2⁵ × 3¹ × 11¹ × 17¹

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 17952

List of positive integer factors of 17952 that divides 17952 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 17, 22, 24, 32, 33, 34, 44, 48, 51, 66, 68, 88, 96, 102, 132, 136, 176, 187, 204, 264, 272, 352, 374, 408, 528, 544, 561, 748, 816, 1056, 1122, 1496, 1632, 2244, 2992, 4488, 5984, 8976

Step-4: Factors of 17963

List of positive integer factors of 17963 that divides 17952 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17952 and 17963. The biggest common factor number is the GCF number.
So the greatest common factor 17952 and 17963 is 11.

Also check out the Least Common Multiple of 17952 and 17963