What is the Greatest Common Factor of 80432 and 80438?

Greatest common factor (GCF) of 80432 and 80438 is 2.

GCF(80432,80438) = 2

We will now calculate the prime factors of 80432 and 80438, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80432 and 80438.

How to find the GCF of 80432 and 80438?

We will first find the prime factorization of 80432 and 80438. After we will calculate the factors of 80432 and 80438 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 80438

Prime factors of 80438 are 2, 37, 1087. Prime factorization of 80438 in exponential form is:

80438 = 2¹ × 37¹ × 1087¹

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 80438

List of positive integer factors of 80438 that divides 80432 without a remainder.

1, 2, 37, 74, 1087, 2174, 40219

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80432 and 80438. The biggest common factor number is the GCF number.
So the greatest common factor 80432 and 80438 is 2.

Also check out the Least Common Multiple of 80432 and 80438