What is the Greatest Common Factor of 81002 and 81016?

Greatest common factor (GCF) of 81002 and 81016 is 2.

GCF(81002,81016) = 2

We will now calculate the prime factors of 81002 and 81016, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81002 and 81016.

How to find the GCF of 81002 and 81016?

We will first find the prime factorization of 81002 and 81016. After we will calculate the factors of 81002 and 81016 and find the biggest common factor number .

Step-1: Prime Factorization of 81002

Prime factors of 81002 are 2, 101, 401. Prime factorization of 81002 in exponential form is:

81002 = 2¹ × 101¹ × 401¹

Step-2: Prime Factorization of 81016

Prime factors of 81016 are 2, 13, 19, 41. Prime factorization of 81016 in exponential form is:

81016 = 2³ × 13¹ × 19¹ × 41¹

Step-3: Factors of 81002

List of positive integer factors of 81002 that divides 81002 without a remainder.

1, 2, 101, 202, 401, 802, 40501

Step-4: Factors of 81016

List of positive integer factors of 81016 that divides 81002 without a remainder.

1, 2, 4, 8, 13, 19, 26, 38, 41, 52, 76, 82, 104, 152, 164, 247, 328, 494, 533, 779, 988, 1066, 1558, 1976, 2132, 3116, 4264, 6232, 10127, 20254, 40508

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81002 and 81016. The biggest common factor number is the GCF number.
So the greatest common factor 81002 and 81016 is 2.

Also check out the Least Common Multiple of 81002 and 81016