What is the Greatest Common Factor of 81690 and 81696?

Greatest common factor (GCF) of 81690 and 81696 is 6.

GCF(81690,81696) = 6

We will now calculate the prime factors of 81690 and 81696, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81690 and 81696.

How to find the GCF of 81690 and 81696?

We will first find the prime factorization of 81690 and 81696. After we will calculate the factors of 81690 and 81696 and find the biggest common factor number .

Step-1: Prime Factorization of 81690

Prime factors of 81690 are 2, 3, 5, 7, 389. Prime factorization of 81690 in exponential form is:

81690 = 2¹ × 3¹ × 5¹ × 7¹ × 389¹

Step-2: Prime Factorization of 81696

Prime factors of 81696 are 2, 3, 23, 37. Prime factorization of 81696 in exponential form is:

81696 = 2⁵ × 3¹ × 23¹ × 37¹

Step-3: Factors of 81690

List of positive integer factors of 81690 that divides 81690 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210, 389, 778, 1167, 1945, 2334, 2723, 3890, 5446, 5835, 8169, 11670, 13615, 16338, 27230, 40845

Step-4: Factors of 81696

List of positive integer factors of 81696 that divides 81690 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 32, 37, 46, 48, 69, 74, 92, 96, 111, 138, 148, 184, 222, 276, 296, 368, 444, 552, 592, 736, 851, 888, 1104, 1184, 1702, 1776, 2208, 2553, 3404, 3552, 5106, 6808, 10212, 13616, 20424, 27232, 40848

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81690 and 81696. The biggest common factor number is the GCF number.
So the greatest common factor 81690 and 81696 is 6.

Also check out the Least Common Multiple of 81690 and 81696