What is the Greatest Common Factor of 80484 and 80488?

Greatest common factor (GCF) of 80484 and 80488 is 4.

GCF(80484,80488) = 4

We will now calculate the prime factors of 80484 and 80488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80484 and 80488.

How to find the GCF of 80484 and 80488?

We will first find the prime factorization of 80484 and 80488. After we will calculate the factors of 80484 and 80488 and find the biggest common factor number .

Step-1: Prime Factorization of 80484

Prime factors of 80484 are 2, 3, 19, 353. Prime factorization of 80484 in exponential form is:

80484 = 2² × 3¹ × 19¹ × 353¹

Step-2: Prime Factorization of 80488

Prime factors of 80488 are 2, 10061. Prime factorization of 80488 in exponential form is:

80488 = 2³ × 10061¹

Step-3: Factors of 80484

List of positive integer factors of 80484 that divides 80484 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228, 353, 706, 1059, 1412, 2118, 4236, 6707, 13414, 20121, 26828, 40242

Step-4: Factors of 80488

List of positive integer factors of 80488 that divides 80484 without a remainder.

1, 2, 4, 8, 10061, 20122, 40244

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80484 and 80488. The biggest common factor number is the GCF number.
So the greatest common factor 80484 and 80488 is 4.

Also check out the Least Common Multiple of 80484 and 80488