What is the Greatest Common Factor of 17864 and 17875?

Greatest common factor (GCF) of 17864 and 17875 is 11.

GCF(17864,17875) = 11

We will now calculate the prime factors of 17864 and 17875, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17864 and 17875.

How to find the GCF of 17864 and 17875?

We will first find the prime factorization of 17864 and 17875. After we will calculate the factors of 17864 and 17875 and find the biggest common factor number .

Step-1: Prime Factorization of 17864

Prime factors of 17864 are 2, 7, 11, 29. Prime factorization of 17864 in exponential form is:

17864 = 2³ × 7¹ × 11¹ × 29¹

Step-2: Prime Factorization of 17875

Prime factors of 17875 are 5, 11, 13. Prime factorization of 17875 in exponential form is:

17875 = 5³ × 11¹ × 13¹

Step-3: Factors of 17864

List of positive integer factors of 17864 that divides 17864 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 29, 44, 56, 58, 77, 88, 116, 154, 203, 232, 308, 319, 406, 616, 638, 812, 1276, 1624, 2233, 2552, 4466, 8932

Step-4: Factors of 17875

List of positive integer factors of 17875 that divides 17864 without a remainder.

1, 5, 11, 13, 25, 55, 65, 125, 143, 275, 325, 715, 1375, 1625, 3575

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17864 and 17875. The biggest common factor number is the GCF number.
So the greatest common factor 17864 and 17875 is 11.

Also check out the Least Common Multiple of 17864 and 17875