What is the Greatest Common Factor of 81022 and 81028?

Greatest common factor (GCF) of 81022 and 81028 is 2.

GCF(81022,81028) = 2

We will now calculate the prime factors of 81022 and 81028, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81022 and 81028.

How to find the GCF of 81022 and 81028?

We will first find the prime factorization of 81022 and 81028. After we will calculate the factors of 81022 and 81028 and find the biggest common factor number .

Step-1: Prime Factorization of 81022

Prime factors of 81022 are 2, 17, 2383. Prime factorization of 81022 in exponential form is:

81022 = 2¹ × 17¹ × 2383¹

Step-2: Prime Factorization of 81028

Prime factors of 81028 are 2, 47, 431. Prime factorization of 81028 in exponential form is:

81028 = 2² × 47¹ × 431¹

Step-3: Factors of 81022

List of positive integer factors of 81022 that divides 81022 without a remainder.

1, 2, 17, 34, 2383, 4766, 40511

Step-4: Factors of 81028

List of positive integer factors of 81028 that divides 81022 without a remainder.

1, 2, 4, 47, 94, 188, 431, 862, 1724, 20257, 40514

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81022 and 81028. The biggest common factor number is the GCF number.
So the greatest common factor 81022 and 81028 is 2.

Also check out the Least Common Multiple of 81022 and 81028