What is the Greatest Common Factor of 80432 and 80443?

Greatest common factor (GCF) of 80432 and 80443 is 11.

GCF(80432,80443) = 11

We will now calculate the prime factors of 80432 and 80443, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80432 and 80443.

How to find the GCF of 80432 and 80443?

We will first find the prime factorization of 80432 and 80443. After we will calculate the factors of 80432 and 80443 and find the biggest common factor number .

Step-1: Prime Factorization of 80432

Prime factors of 80432 are 2, 11, 457. Prime factorization of 80432 in exponential form is:

80432 = 2⁴ × 11¹ × 457¹

Step-2: Prime Factorization of 80443

Prime factors of 80443 are 11, 71, 103. Prime factorization of 80443 in exponential form is:

80443 = 11¹ × 71¹ × 103¹

Step-3: Factors of 80432

List of positive integer factors of 80432 that divides 80432 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 457, 914, 1828, 3656, 5027, 7312, 10054, 20108, 40216

Step-4: Factors of 80443

List of positive integer factors of 80443 that divides 80432 without a remainder.

1, 11, 71, 103, 781, 1133, 7313

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80432 and 80443. The biggest common factor number is the GCF number.
So the greatest common factor 80432 and 80443 is 11.

Also check out the Least Common Multiple of 80432 and 80443