What is the Greatest Common Factor of 83448 and 83456?

Greatest common factor (GCF) of 83448 and 83456 is 8.

GCF(83448,83456) = 8

We will now calculate the prime factors of 83448 and 83456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83448 and 83456.

How to find the GCF of 83448 and 83456?

We will first find the prime factorization of 83448 and 83456. After we will calculate the factors of 83448 and 83456 and find the biggest common factor number .

Step-1: Prime Factorization of 83448

Prime factors of 83448 are 2, 3, 19, 61. Prime factorization of 83448 in exponential form is:

83448 = 2³ × 3² × 19¹ × 61¹

Step-2: Prime Factorization of 83456

Prime factors of 83456 are 2, 163. Prime factorization of 83456 in exponential form is:

83456 = 2⁹ × 163¹

Step-3: Factors of 83448

List of positive integer factors of 83448 that divides 83448 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 19, 24, 36, 38, 57, 61, 72, 76, 114, 122, 152, 171, 183, 228, 244, 342, 366, 456, 488, 549, 684, 732, 1098, 1159, 1368, 1464, 2196, 2318, 3477, 4392, 4636, 6954, 9272, 10431, 13908, 20862, 27816, 41724

Step-4: Factors of 83456

List of positive integer factors of 83456 that divides 83448 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 163, 256, 326, 512, 652, 1304, 2608, 5216, 10432, 20864, 41728

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83448 and 83456. The biggest common factor number is the GCF number.
So the greatest common factor 83448 and 83456 is 8.

Also check out the Least Common Multiple of 83448 and 83456