What is the Greatest Common Factor of 29764 and 29774?

Greatest common factor (GCF) of 29764 and 29774 is 2.

GCF(29764,29774) = 2

We will now calculate the prime factors of 29764 and 29774, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29764 and 29774.

How to find the GCF of 29764 and 29774?

We will first find the prime factorization of 29764 and 29774. After we will calculate the factors of 29764 and 29774 and find the biggest common factor number .

Step-1: Prime Factorization of 29764

Prime factors of 29764 are 2, 7, 1063. Prime factorization of 29764 in exponential form is:

29764 = 2² × 7¹ × 1063¹

Step-2: Prime Factorization of 29774

Prime factors of 29774 are 2, 14887. Prime factorization of 29774 in exponential form is:

29774 = 2¹ × 14887¹

Step-3: Factors of 29764

List of positive integer factors of 29764 that divides 29764 without a remainder.

1, 2, 4, 7, 14, 28, 1063, 2126, 4252, 7441, 14882

Step-4: Factors of 29774

List of positive integer factors of 29774 that divides 29764 without a remainder.

1, 2, 14887

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29764 and 29774. The biggest common factor number is the GCF number.
So the greatest common factor 29764 and 29774 is 2.

Also check out the Least Common Multiple of 29764 and 29774