What is the Greatest Common Factor of 86802 and 86821?

Greatest common factor (GCF) of 86802 and 86821 is 1.

GCF(86802,86821) = 1

We will now calculate the prime factors of 86802 and 86821, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86802 and 86821.

How to find the GCF of 86802 and 86821?

We will first find the prime factorization of 86802 and 86821. After we will calculate the factors of 86802 and 86821 and find the biggest common factor number .

Step-1: Prime Factorization of 86802

Prime factors of 86802 are 2, 3, 17, 23, 37. Prime factorization of 86802 in exponential form is:

86802 = 2¹ × 3¹ × 17¹ × 23¹ × 37¹

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 86802

List of positive integer factors of 86802 that divides 86802 without a remainder.

1, 2, 3, 6, 17, 23, 34, 37, 46, 51, 69, 74, 102, 111, 138, 222, 391, 629, 782, 851, 1173, 1258, 1702, 1887, 2346, 2553, 3774, 5106, 14467, 28934, 43401

Step-4: Factors of 86821

List of positive integer factors of 86821 that divides 86802 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86802 and 86821. The biggest common factor number is the GCF number.
So the greatest common factor 86802 and 86821 is 1.

Also check out the Least Common Multiple of 86802 and 86821