What is the Greatest Common Factor of 81012 and 81016?

Greatest common factor (GCF) of 81012 and 81016 is 4.

GCF(81012,81016) = 4

We will now calculate the prime factors of 81012 and 81016, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81012 and 81016.

How to find the GCF of 81012 and 81016?

We will first find the prime factorization of 81012 and 81016. After we will calculate the factors of 81012 and 81016 and find the biggest common factor number .

Step-1: Prime Factorization of 81012

Prime factors of 81012 are 2, 3, 43, 157. Prime factorization of 81012 in exponential form is:

81012 = 2² × 3¹ × 43¹ × 157¹

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 81012

List of positive integer factors of 81012 that divides 81012 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 157, 172, 258, 314, 471, 516, 628, 942, 1884, 6751, 13502, 20253, 27004, 40506

Step-4: Factors of 81016

List of positive integer factors of 81016 that divides 81012 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 81012 and 81016. The biggest common factor number is the GCF number.
So the greatest common factor 81012 and 81016 is 4.

Also check out the Least Common Multiple of 81012 and 81016