What is the Greatest Common Factor of 78480 and 78495?

Greatest common factor (GCF) of 78480 and 78495 is 15.

GCF(78480,78495) = 15

We will now calculate the prime factors of 78480 and 78495, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78480 and 78495.

How to find the GCF of 78480 and 78495?

We will first find the prime factorization of 78480 and 78495. After we will calculate the factors of 78480 and 78495 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 78495

Prime factors of 78495 are 3, 5, 5233. Prime factorization of 78495 in exponential form is:

78495 = 3¹ × 5¹ × 5233¹

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 78495

List of positive integer factors of 78495 that divides 78480 without a remainder.

1, 3, 5, 15, 5233, 15699, 26165

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78480 and 78495. The biggest common factor number is the GCF number.
So the greatest common factor 78480 and 78495 is 15.

Also check out the Least Common Multiple of 78480 and 78495