What is the Greatest Common Factor of 81684 and 81702?

Greatest common factor (GCF) of 81684 and 81702 is 18.

GCF(81684,81702) = 18

We will now calculate the prime factors of 81684 and 81702, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81684 and 81702.

How to find the GCF of 81684 and 81702?

We will first find the prime factorization of 81684 and 81702. After we will calculate the factors of 81684 and 81702 and find the biggest common factor number .

Step-1: Prime Factorization of 81684

Prime factors of 81684 are 2, 3, 2269. Prime factorization of 81684 in exponential form is:

81684 = 2² × 3² × 2269¹

Step-2: Prime Factorization of 81702

Prime factors of 81702 are 2, 3, 17, 89. Prime factorization of 81702 in exponential form is:

81702 = 2¹ × 3³ × 17¹ × 89¹

Step-3: Factors of 81684

List of positive integer factors of 81684 that divides 81684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2269, 4538, 6807, 9076, 13614, 20421, 27228, 40842

Step-4: Factors of 81702

List of positive integer factors of 81702 that divides 81684 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 89, 102, 153, 178, 267, 306, 459, 534, 801, 918, 1513, 1602, 2403, 3026, 4539, 4806, 9078, 13617, 27234, 40851

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81684 and 81702. The biggest common factor number is the GCF number.
So the greatest common factor 81684 and 81702 is 18.

Also check out the Least Common Multiple of 81684 and 81702