What is the Greatest Common Factor of 86801 and 86814?

Greatest common factor (GCF) of 86801 and 86814 is 13.

GCF(86801,86814) = 13

We will now calculate the prime factors of 86801 and 86814, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86801 and 86814.

How to find the GCF of 86801 and 86814?

We will first find the prime factorization of 86801 and 86814. After we will calculate the factors of 86801 and 86814 and find the biggest common factor number .

Step-1: Prime Factorization of 86801

Prime factors of 86801 are 11, 13, 607. Prime factorization of 86801 in exponential form is:

86801 = 11¹ × 13¹ × 607¹

Step-2: 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-3: Factors of 86801

List of positive integer factors of 86801 that divides 86801 without a remainder.

1, 11, 13, 143, 607, 6677, 7891

Step-4: Factors of 86814

List of positive integer factors of 86814 that divides 86801 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86801 and 86814. The biggest common factor number is the GCF number.
So the greatest common factor 86801 and 86814 is 13.

Also check out the Least Common Multiple of 86801 and 86814