What is the Greatest Common Factor of 86429 and 86443?

Greatest common factor (GCF) of 86429 and 86443 is 7.

GCF(86429,86443) = 7

We will now calculate the prime factors of 86429 and 86443, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86429 and 86443.

How to find the GCF of 86429 and 86443?

We will first find the prime factorization of 86429 and 86443. After we will calculate the factors of 86429 and 86443 and find the biggest common factor number .

Step-1: Prime Factorization of 86429

Prime factors of 86429 are 7, 12347. Prime factorization of 86429 in exponential form is:

86429 = 7¹ × 12347¹

Step-2: Prime Factorization of 86443

Prime factors of 86443 are 7, 53, 233. Prime factorization of 86443 in exponential form is:

86443 = 7¹ × 53¹ × 233¹

Step-3: Factors of 86429

List of positive integer factors of 86429 that divides 86429 without a remainder.

1, 7, 12347

Step-4: Factors of 86443

List of positive integer factors of 86443 that divides 86429 without a remainder.

1, 7, 53, 233, 371, 1631, 12349

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86429 and 86443. The biggest common factor number is the GCF number.
So the greatest common factor 86429 and 86443 is 7.

Also check out the Least Common Multiple of 86429 and 86443