What is the Greatest Common Factor of 81702 and 81714?

Greatest common factor (GCF) of 81702 and 81714 is 6.

GCF(81702,81714) = 6

We will now calculate the prime factors of 81702 and 81714, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81702 and 81714.

How to find the GCF of 81702 and 81714?

We will first find the prime factorization of 81702 and 81714. After we will calculate the factors of 81702 and 81714 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 81714

Prime factors of 81714 are 2, 3, 13619. Prime factorization of 81714 in exponential form is:

81714 = 2¹ × 3¹ × 13619¹

Step-3: Factors of 81702

List of positive integer factors of 81702 that divides 81702 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

Step-4: Factors of 81714

List of positive integer factors of 81714 that divides 81702 without a remainder.

1, 2, 3, 6, 13619, 27238, 40857

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81702 and 81714. The biggest common factor number is the GCF number.
So the greatest common factor 81702 and 81714 is 6.

Also check out the Least Common Multiple of 81702 and 81714