What is the Greatest Common Factor of 29782 and 29788?

Greatest common factor (GCF) of 29782 and 29788 is 2.

GCF(29782,29788) = 2

We will now calculate the prime factors of 29782 and 29788, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29782 and 29788.

How to find the GCF of 29782 and 29788?

We will first find the prime factorization of 29782 and 29788. After we will calculate the factors of 29782 and 29788 and find the biggest common factor number .

Step-1: Prime Factorization of 29782

Prime factors of 29782 are 2, 14891. Prime factorization of 29782 in exponential form is:

29782 = 2¹ × 14891¹

Step-2: Prime Factorization of 29788

Prime factors of 29788 are 2, 11, 677. Prime factorization of 29788 in exponential form is:

29788 = 2² × 11¹ × 677¹

Step-3: Factors of 29782

List of positive integer factors of 29782 that divides 29782 without a remainder.

1, 2, 14891

Step-4: Factors of 29788

List of positive integer factors of 29788 that divides 29782 without a remainder.

1, 2, 4, 11, 22, 44, 677, 1354, 2708, 7447, 14894

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29782 and 29788. The biggest common factor number is the GCF number.
So the greatest common factor 29782 and 29788 is 2.

Also check out the Least Common Multiple of 29782 and 29788