What is the Greatest Common Factor of 80472 and 80492?

Greatest common factor (GCF) of 80472 and 80492 is 4.

GCF(80472,80492) = 4

We will now calculate the prime factors of 80472 and 80492, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80472 and 80492.

How to find the GCF of 80472 and 80492?

We will first find the prime factorization of 80472 and 80492. After we will calculate the factors of 80472 and 80492 and find the biggest common factor number .

Step-1: Prime Factorization of 80472

Prime factors of 80472 are 2, 3, 7, 479. Prime factorization of 80472 in exponential form is:

80472 = 2³ × 3¹ × 7¹ × 479¹

Step-2: Prime Factorization of 80492

Prime factors of 80492 are 2, 20123. Prime factorization of 80492 in exponential form is:

80492 = 2² × 20123¹

Step-3: Factors of 80472

List of positive integer factors of 80472 that divides 80472 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 479, 958, 1437, 1916, 2874, 3353, 3832, 5748, 6706, 10059, 11496, 13412, 20118, 26824, 40236

Step-4: Factors of 80492

List of positive integer factors of 80492 that divides 80472 without a remainder.

1, 2, 4, 20123, 40246

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80472 and 80492. The biggest common factor number is the GCF number.
So the greatest common factor 80472 and 80492 is 4.

Also check out the Least Common Multiple of 80472 and 80492