What is the Greatest Common Factor of 29682 and 29699?

Greatest common factor (GCF) of 29682 and 29699 is 17.

GCF(29682,29699) = 17

We will now calculate the prime factors of 29682 and 29699, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29682 and 29699.

How to find the GCF of 29682 and 29699?

We will first find the prime factorization of 29682 and 29699. After we will calculate the factors of 29682 and 29699 and find the biggest common factor number .

Step-1: Prime Factorization of 29682

Prime factors of 29682 are 2, 3, 17, 97. Prime factorization of 29682 in exponential form is:

29682 = 2¹ × 3² × 17¹ × 97¹

Step-2: Prime Factorization of 29699

Prime factors of 29699 are 17, 1747. Prime factorization of 29699 in exponential form is:

29699 = 17¹ × 1747¹

Step-3: Factors of 29682

List of positive integer factors of 29682 that divides 29682 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 97, 102, 153, 194, 291, 306, 582, 873, 1649, 1746, 3298, 4947, 9894, 14841

Step-4: Factors of 29699

List of positive integer factors of 29699 that divides 29682 without a remainder.

1, 17, 1747

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29682 and 29699. The biggest common factor number is the GCF number.
So the greatest common factor 29682 and 29699 is 17.

Also check out the Least Common Multiple of 29682 and 29699