What is the Greatest Common Factor of 80428 and 80432?

Greatest common factor (GCF) of 80428 and 80432 is 4.

GCF(80428,80432) = 4

We will now calculate the prime factors of 80428 and 80432, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80428 and 80432.

How to find the GCF of 80428 and 80432?

We will first find the prime factorization of 80428 and 80432. After we will calculate the factors of 80428 and 80432 and find the biggest common factor number .

Step-1: Prime Factorization of 80428

Prime factors of 80428 are 2, 20107. Prime factorization of 80428 in exponential form is:

80428 = 2² × 20107¹

Step-2: 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-3: Factors of 80428

List of positive integer factors of 80428 that divides 80428 without a remainder.

1, 2, 4, 20107, 40214

Step-4: Factors of 80432

List of positive integer factors of 80432 that divides 80428 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80428 and 80432. The biggest common factor number is the GCF number.
So the greatest common factor 80428 and 80432 is 4.

Also check out the Least Common Multiple of 80428 and 80432