What is the Greatest Common Factor of 78475 and 78480?

Greatest common factor (GCF) of 78475 and 78480 is 5.

GCF(78475,78480) = 5

We will now calculate the prime factors of 78475 and 78480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78475 and 78480.

How to find the GCF of 78475 and 78480?

We will first find the prime factorization of 78475 and 78480. After we will calculate the factors of 78475 and 78480 and find the biggest common factor number .

Step-1: Prime Factorization of 78475

Prime factors of 78475 are 5, 43, 73. Prime factorization of 78475 in exponential form is:

78475 = 5² × 43¹ × 73¹

Step-2: 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-3: Factors of 78475

List of positive integer factors of 78475 that divides 78475 without a remainder.

1, 5, 25, 43, 73, 215, 365, 1075, 1825, 3139, 15695

Step-4: Factors of 78480

List of positive integer factors of 78480 that divides 78475 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78475 and 78480. The biggest common factor number is the GCF number.
So the greatest common factor 78475 and 78480 is 5.

Also check out the Least Common Multiple of 78475 and 78480