What is the Greatest Common Factor of 78488 and 78496?

Greatest common factor (GCF) of 78488 and 78496 is 8.

GCF(78488,78496) = 8

We will now calculate the prime factors of 78488 and 78496, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78488 and 78496.

How to find the GCF of 78488 and 78496?

We will first find the prime factorization of 78488 and 78496. After we will calculate the factors of 78488 and 78496 and find the biggest common factor number .

Step-1: Prime Factorization of 78488

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

78488 = 2³ × 9811¹

Step-2: Prime Factorization of 78496

Prime factors of 78496 are 2, 11, 223. Prime factorization of 78496 in exponential form is:

78496 = 2⁵ × 11¹ × 223¹

Step-3: Factors of 78488

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

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

Step-4: Factors of 78496

List of positive integer factors of 78496 that divides 78488 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 223, 352, 446, 892, 1784, 2453, 3568, 4906, 7136, 9812, 19624, 39248

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78488 and 78496. The biggest common factor number is the GCF number.
So the greatest common factor 78488 and 78496 is 8.

Also check out the Least Common Multiple of 78488 and 78496