What is the Greatest Common Factor of 81016 and 81030?

Greatest common factor (GCF) of 81016 and 81030 is 2.

GCF(81016,81030) = 2

We will now calculate the prime factors of 81016 and 81030, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81016 and 81030.

How to find the GCF of 81016 and 81030?

We will first find the prime factorization of 81016 and 81030. After we will calculate the factors of 81016 and 81030 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 81030

Prime factors of 81030 are 2, 3, 5, 37, 73. Prime factorization of 81030 in exponential form is:

81030 = 2¹ × 3¹ × 5¹ × 37¹ × 73¹

Step-3: Factors of 81016

List of positive integer factors of 81016 that divides 81016 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

Step-4: Factors of 81030

List of positive integer factors of 81030 that divides 81016 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 37, 73, 74, 111, 146, 185, 219, 222, 365, 370, 438, 555, 730, 1095, 1110, 2190, 2701, 5402, 8103, 13505, 16206, 27010, 40515

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81016 and 81030. The biggest common factor number is the GCF number.
So the greatest common factor 81016 and 81030 is 2.

Also check out the Least Common Multiple of 81016 and 81030