What is the Greatest Common Factor of 81026 and 81030?

Greatest common factor (GCF) of 81026 and 81030 is 2.

GCF(81026,81030) = 2

We will now calculate the prime factors of 81026 and 81030, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81026 and 81030.

How to find the GCF of 81026 and 81030?

We will first find the prime factorization of 81026 and 81030. After we will calculate the factors of 81026 and 81030 and find the biggest common factor number .

Step-1: Prime Factorization of 81026

Prime factors of 81026 are 2, 11, 29, 127. Prime factorization of 81026 in exponential form is:

81026 = 2¹ × 11¹ × 29¹ × 127¹

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 81026

List of positive integer factors of 81026 that divides 81026 without a remainder.

1, 2, 11, 22, 29, 58, 127, 254, 319, 638, 1397, 2794, 3683, 7366, 40513

Step-4: Factors of 81030

List of positive integer factors of 81030 that divides 81026 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 81026 and 81030. The biggest common factor number is the GCF number.
So the greatest common factor 81026 and 81030 is 2.

Also check out the Least Common Multiple of 81026 and 81030