What is the Greatest Common Factor of 78480 and 78488?

Greatest common factor (GCF) of 78480 and 78488 is 8.

GCF(78480,78488) = 8

We will now calculate the prime factors of 78480 and 78488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78480 and 78488.

How to find the GCF of 78480 and 78488?

We will first find the prime factorization of 78480 and 78488. After we will calculate the factors of 78480 and 78488 and find the biggest common factor number .

Step-1: Prime Factorization of 78480

Prime factors of 78480 are 2, 3, 5, 109. Prime factorization of 78480 in exponential form is:

78480 = 2⁴ × 3² × 5¹ × 109¹

Step-2: Prime Factorization of 78488

Prime factors of 78488 are 2, 9811. Prime factorization of 78488 in exponential form is:

78488 = 2³ × 9811¹

Step-3: Factors of 78480

List of positive integer factors of 78480 that divides 78480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 109, 120, 144, 180, 218, 240, 327, 360, 436, 545, 654, 720, 872, 981, 1090, 1308, 1635, 1744, 1962, 2180, 2616, 3270, 3924, 4360, 4905, 5232, 6540, 7848, 8720, 9810, 13080, 15696, 19620, 26160, 39240

Step-4: Factors of 78488

List of positive integer factors of 78488 that divides 78480 without a remainder.

1, 2, 4, 8, 9811, 19622, 39244

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78480 and 78488. The biggest common factor number is the GCF number.
So the greatest common factor 78480 and 78488 is 8.

Also check out the Least Common Multiple of 78480 and 78488