What is the Greatest Common Factor of 10812 and 10829?

Greatest common factor (GCF) of 10812 and 10829 is 17.

GCF(10812,10829) = 17

We will now calculate the prime factors of 10812 and 10829, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10812 and 10829.

How to find the GCF of 10812 and 10829?

We will first find the prime factorization of 10812 and 10829. After we will calculate the factors of 10812 and 10829 and find the biggest common factor number .

Step-1: Prime Factorization of 10812

Prime factors of 10812 are 2, 3, 17, 53. Prime factorization of 10812 in exponential form is:

10812 = 2² × 3¹ × 17¹ × 53¹

Step-2: Prime Factorization of 10829

Prime factors of 10829 are 7, 13, 17. Prime factorization of 10829 in exponential form is:

10829 = 7² × 13¹ × 17¹

Step-3: Factors of 10812

List of positive integer factors of 10812 that divides 10812 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 53, 68, 102, 106, 159, 204, 212, 318, 636, 901, 1802, 2703, 3604, 5406

Step-4: Factors of 10829

List of positive integer factors of 10829 that divides 10812 without a remainder.

1, 7, 13, 17, 49, 91, 119, 221, 637, 833, 1547

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10812 and 10829. The biggest common factor number is the GCF number.
So the greatest common factor 10812 and 10829 is 17.

Also check out the Least Common Multiple of 10812 and 10829