What is the Greatest Common Factor of 81248 and 81268?

Greatest common factor (GCF) of 81248 and 81268 is 4.

GCF(81248,81268) = 4

We will now calculate the prime factors of 81248 and 81268, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81248 and 81268.

How to find the GCF of 81248 and 81268?

We will first find the prime factorization of 81248 and 81268. After we will calculate the factors of 81248 and 81268 and find the biggest common factor number .

Step-1: Prime Factorization of 81248

Prime factors of 81248 are 2, 2539. Prime factorization of 81248 in exponential form is:

81248 = 2⁵ × 2539¹

Step-2: Prime Factorization of 81268

Prime factors of 81268 are 2, 11, 1847. Prime factorization of 81268 in exponential form is:

81268 = 2² × 11¹ × 1847¹

Step-3: Factors of 81248

List of positive integer factors of 81248 that divides 81248 without a remainder.

1, 2, 4, 8, 16, 32, 2539, 5078, 10156, 20312, 40624

Step-4: Factors of 81268

List of positive integer factors of 81268 that divides 81248 without a remainder.

1, 2, 4, 11, 22, 44, 1847, 3694, 7388, 20317, 40634

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81248 and 81268. The biggest common factor number is the GCF number.
So the greatest common factor 81248 and 81268 is 4.

Also check out the Least Common Multiple of 81248 and 81268