What is the Greatest Common Factor of 27829 and 27846?

Greatest common factor (GCF) of 27829 and 27846 is 17.

GCF(27829,27846) = 17

We will now calculate the prime factors of 27829 and 27846, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27829 and 27846.

How to find the GCF of 27829 and 27846?

We will first find the prime factorization of 27829 and 27846. After we will calculate the factors of 27829 and 27846 and find the biggest common factor number .

Step-1: Prime Factorization of 27829

Prime factors of 27829 are 17, 1637. Prime factorization of 27829 in exponential form is:

27829 = 17¹ × 1637¹

Step-2: Prime Factorization of 27846

Prime factors of 27846 are 2, 3, 7, 13, 17. Prime factorization of 27846 in exponential form is:

27846 = 2¹ × 3² × 7¹ × 13¹ × 17¹

Step-3: Factors of 27829

List of positive integer factors of 27829 that divides 27829 without a remainder.

1, 17, 1637

Step-4: Factors of 27846

List of positive integer factors of 27846 that divides 27829 without a remainder.

1, 2, 3, 6, 7, 9, 13, 14, 17, 18, 21, 26, 34, 39, 42, 51, 63, 78, 91, 102, 117, 119, 126, 153, 182, 221, 234, 238, 273, 306, 357, 442, 546, 663, 714, 819, 1071, 1326, 1547, 1638, 1989, 2142, 3094, 3978, 4641, 9282, 13923

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27829 and 27846. The biggest common factor number is the GCF number.
So the greatest common factor 27829 and 27846 is 17.

Also check out the Least Common Multiple of 27829 and 27846