What is the Greatest Common Factor of 81268 and 81272?

Greatest common factor (GCF) of 81268 and 81272 is 4.

GCF(81268,81272) = 4

We will now calculate the prime factors of 81268 and 81272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81268 and 81272.

How to find the GCF of 81268 and 81272?

We will first find the prime factorization of 81268 and 81272. After we will calculate the factors of 81268 and 81272 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 81272

Prime factors of 81272 are 2, 10159. Prime factorization of 81272 in exponential form is:

81272 = 2³ × 10159¹

Step-3: Factors of 81268

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

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

Step-4: Factors of 81272

List of positive integer factors of 81272 that divides 81268 without a remainder.

1, 2, 4, 8, 10159, 20318, 40636

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81268 and 81272. The biggest common factor number is the GCF number.
So the greatest common factor 81268 and 81272 is 4.

Also check out the Least Common Multiple of 81268 and 81272