What is the Greatest Common Factor of 78480 and 78490?

Greatest common factor (GCF) of 78480 and 78490 is 10.

GCF(78480,78490) = 10

We will now calculate the prime factors of 78480 and 78490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78480 and 78490.

How to find the GCF of 78480 and 78490?

We will first find the prime factorization of 78480 and 78490. After we will calculate the factors of 78480 and 78490 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 78490

Prime factors of 78490 are 2, 5, 47, 167. Prime factorization of 78490 in exponential form is:

78490 = 2¹ × 5¹ × 47¹ × 167¹

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 78490

List of positive integer factors of 78490 that divides 78480 without a remainder.

1, 2, 5, 10, 47, 94, 167, 235, 334, 470, 835, 1670, 7849, 15698, 39245

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78480 and 78490. The biggest common factor number is the GCF number.
So the greatest common factor 78480 and 78490 is 10.

Also check out the Least Common Multiple of 78480 and 78490