What is the Greatest Common Factor of 10023 and 10032?

Greatest common factor (GCF) of 10023 and 10032 is 3.

GCF(10023,10032) = 3

We will now calculate the prime factors of 10023 and 10032, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10023 and 10032.

How to find the GCF of 10023 and 10032?

We will first find the prime factorization of 10023 and 10032. After we will calculate the factors of 10023 and 10032 and find the biggest common factor number .

Step-1: Prime Factorization of 10023

Prime factors of 10023 are 3, 13, 257. Prime factorization of 10023 in exponential form is:

10023 = 3¹ × 13¹ × 257¹

Step-2: Prime Factorization of 10032

Prime factors of 10032 are 2, 3, 11, 19. Prime factorization of 10032 in exponential form is:

10032 = 2⁴ × 3¹ × 11¹ × 19¹

Step-3: Factors of 10023

List of positive integer factors of 10023 that divides 10023 without a remainder.

1, 3, 13, 39, 257, 771, 3341

Step-4: Factors of 10032

List of positive integer factors of 10032 that divides 10023 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 19, 22, 24, 33, 38, 44, 48, 57, 66, 76, 88, 114, 132, 152, 176, 209, 228, 264, 304, 418, 456, 528, 627, 836, 912, 1254, 1672, 2508, 3344, 5016

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10023 and 10032. The biggest common factor number is the GCF number.
So the greatest common factor 10023 and 10032 is 3.

Also check out the Least Common Multiple of 10023 and 10032