What is the Greatest Common Factor of 27846 and 27853?

Greatest common factor (GCF) of 27846 and 27853 is 7.

GCF(27846,27853) = 7

We will now calculate the prime factors of 27846 and 27853, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27846 and 27853.

How to find the GCF of 27846 and 27853?

We will first find the prime factorization of 27846 and 27853. After we will calculate the factors of 27846 and 27853 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 27853

Prime factors of 27853 are 7, 23, 173. Prime factorization of 27853 in exponential form is:

27853 = 7¹ × 23¹ × 173¹

Step-3: Factors of 27846

List of positive integer factors of 27846 that divides 27846 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

Step-4: Factors of 27853

List of positive integer factors of 27853 that divides 27846 without a remainder.

1, 7, 23, 161, 173, 1211, 3979

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27846 and 27853. The biggest common factor number is the GCF number.
So the greatest common factor 27846 and 27853 is 7.

Also check out the Least Common Multiple of 27846 and 27853