What is the Greatest Common Factor of 86814 and 86821?

Greatest common factor (GCF) of 86814 and 86821 is 7.

GCF(86814,86821) = 7

We will now calculate the prime factors of 86814 and 86821, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86814 and 86821.

How to find the GCF of 86814 and 86821?

We will first find the prime factorization of 86814 and 86821. After we will calculate the factors of 86814 and 86821 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 86821

Prime factors of 86821 are 7, 79, 157. Prime factorization of 86821 in exponential form is:

86821 = 7¹ × 79¹ × 157¹

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 86821

List of positive integer factors of 86821 that divides 86814 without a remainder.

1, 7, 79, 157, 553, 1099, 12403

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86814 and 86821. The biggest common factor number is the GCF number.
So the greatest common factor 86814 and 86821 is 7.

Also check out the Least Common Multiple of 86814 and 86821