What is the Greatest Common Factor of 80472 and 80479?

Greatest common factor (GCF) of 80472 and 80479 is 7.

GCF(80472,80479) = 7

We will now calculate the prime factors of 80472 and 80479, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80472 and 80479.

How to find the GCF of 80472 and 80479?

We will first find the prime factorization of 80472 and 80479. After we will calculate the factors of 80472 and 80479 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 80479

Prime factors of 80479 are 7, 11497. Prime factorization of 80479 in exponential form is:

80479 = 7¹ × 11497¹

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 80479

List of positive integer factors of 80479 that divides 80472 without a remainder.

1, 7, 11497

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80472 and 80479. The biggest common factor number is the GCF number.
So the greatest common factor 80472 and 80479 is 7.

Also check out the Least Common Multiple of 80472 and 80479