What is the Greatest Common Factor of 86814 and 86827?

Greatest common factor (GCF) of 86814 and 86827 is 13.

GCF(86814,86827) = 13

We will now calculate the prime factors of 86814 and 86827, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86814 and 86827.

How to find the GCF of 86814 and 86827?

We will first find the prime factorization of 86814 and 86827. After we will calculate the factors of 86814 and 86827 and find the biggest common factor number .

Step-1: Prime Factorization of 86814

Prime factors of 86814 are 2, 3, 7, 13, 53. Prime factorization of 86814 in exponential form is:

86814 = 2¹ × 3² × 7¹ × 13¹ × 53¹

Step-2: Prime Factorization of 86827

Prime factors of 86827 are 13, 6679. Prime factorization of 86827 in exponential form is:

86827 = 13¹ × 6679¹

Step-3: Factors of 86814

List of positive integer factors of 86814 that divides 86814 without a remainder.

1, 2, 3, 6, 7, 9, 13, 14, 18, 21, 26, 39, 42, 53, 63, 78, 91, 106, 117, 126, 159, 182, 234, 273, 318, 371, 477, 546, 689, 742, 819, 954, 1113, 1378, 1638, 2067, 2226, 3339, 4134, 4823, 6201, 6678, 9646, 12402, 14469, 28938, 43407

Step-4: Factors of 86827

List of positive integer factors of 86827 that divides 86814 without a remainder.

1, 13, 6679

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86814 and 86827. The biggest common factor number is the GCF number.
So the greatest common factor 86814 and 86827 is 13.

Also check out the Least Common Multiple of 86814 and 86827