What is the Greatest Common Factor of 78464 and 78480?

Greatest common factor (GCF) of 78464 and 78480 is 16.

GCF(78464,78480) = 16

We will now calculate the prime factors of 78464 and 78480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78464 and 78480.

How to find the GCF of 78464 and 78480?

We will first find the prime factorization of 78464 and 78480. After we will calculate the factors of 78464 and 78480 and find the biggest common factor number .

Step-1: Prime Factorization of 78464

Prime factors of 78464 are 2, 613. Prime factorization of 78464 in exponential form is:

78464 = 2⁷ × 613¹

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 78464

List of positive integer factors of 78464 that divides 78464 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 613, 1226, 2452, 4904, 9808, 19616, 39232

Step-4: Factors of 78480

List of positive integer factors of 78480 that divides 78464 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 78464 and 78480. The biggest common factor number is the GCF number.
So the greatest common factor 78464 and 78480 is 16.

Also check out the Least Common Multiple of 78464 and 78480