What is the Greatest Common Factor of 29278 and 29284?

Greatest common factor (GCF) of 29278 and 29284 is 2.

GCF(29278,29284) = 2

We will now calculate the prime factors of 29278 and 29284, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29278 and 29284.

How to find the GCF of 29278 and 29284?

We will first find the prime factorization of 29278 and 29284. After we will calculate the factors of 29278 and 29284 and find the biggest common factor number .

Step-1: Prime Factorization of 29278

Prime factors of 29278 are 2, 14639. Prime factorization of 29278 in exponential form is:

29278 = 2¹ × 14639¹

Step-2: Prime Factorization of 29284

Prime factors of 29284 are 2, 7321. Prime factorization of 29284 in exponential form is:

29284 = 2² × 7321¹

Step-3: Factors of 29278

List of positive integer factors of 29278 that divides 29278 without a remainder.

1, 2, 14639

Step-4: Factors of 29284

List of positive integer factors of 29284 that divides 29278 without a remainder.

1, 2, 4, 7321, 14642

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29278 and 29284. The biggest common factor number is the GCF number.
So the greatest common factor 29278 and 29284 is 2.

Also check out the Least Common Multiple of 29278 and 29284