What is the Greatest Common Factor of 29674 and 29682?

Greatest common factor (GCF) of 29674 and 29682 is 2.

GCF(29674,29682) = 2

We will now calculate the prime factors of 29674 and 29682, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29674 and 29682.

How to find the GCF of 29674 and 29682?

We will first find the prime factorization of 29674 and 29682. After we will calculate the factors of 29674 and 29682 and find the biggest common factor number .

Step-1: Prime Factorization of 29674

Prime factors of 29674 are 2, 37, 401. Prime factorization of 29674 in exponential form is:

29674 = 2¹ × 37¹ × 401¹

Step-2: 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-3: Factors of 29674

List of positive integer factors of 29674 that divides 29674 without a remainder.

1, 2, 37, 74, 401, 802, 14837

Step-4: Factors of 29682

List of positive integer factors of 29682 that divides 29674 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29674 and 29682. The biggest common factor number is the GCF number.
So the greatest common factor 29674 and 29682 is 2.

Also check out the Least Common Multiple of 29674 and 29682