What is the Greatest Common Factor of 81096 and 81102?

Greatest common factor (GCF) of 81096 and 81102 is 6.

GCF(81096,81102) = 6

We will now calculate the prime factors of 81096 and 81102, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81096 and 81102.

How to find the GCF of 81096 and 81102?

We will first find the prime factorization of 81096 and 81102. After we will calculate the factors of 81096 and 81102 and find the biggest common factor number .

Step-1: Prime Factorization of 81096

Prime factors of 81096 are 2, 3, 31, 109. Prime factorization of 81096 in exponential form is:

81096 = 2³ × 3¹ × 31¹ × 109¹

Step-2: Prime Factorization of 81102

Prime factors of 81102 are 2, 3, 7, 1931. Prime factorization of 81102 in exponential form is:

81102 = 2¹ × 3¹ × 7¹ × 1931¹

Step-3: Factors of 81096

List of positive integer factors of 81096 that divides 81096 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 109, 124, 186, 218, 248, 327, 372, 436, 654, 744, 872, 1308, 2616, 3379, 6758, 10137, 13516, 20274, 27032, 40548

Step-4: Factors of 81102

List of positive integer factors of 81102 that divides 81096 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1931, 3862, 5793, 11586, 13517, 27034, 40551

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81096 and 81102. The biggest common factor number is the GCF number.
So the greatest common factor 81096 and 81102 is 6.

Also check out the Least Common Multiple of 81096 and 81102