What is the Greatest Common Factor of 29278 and 29294?

Greatest common factor (GCF) of 29278 and 29294 is 2.

GCF(29278,29294) = 2

We will now calculate the prime factors of 29278 and 29294, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29278 and 29294.

How to find the GCF of 29278 and 29294?

We will first find the prime factorization of 29278 and 29294. After we will calculate the factors of 29278 and 29294 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 29294

Prime factors of 29294 are 2, 97, 151. Prime factorization of 29294 in exponential form is:

29294 = 2¹ × 97¹ × 151¹

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 29294

List of positive integer factors of 29294 that divides 29278 without a remainder.

1, 2, 97, 151, 194, 302, 14647

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29278 and 29294. The biggest common factor number is the GCF number.
So the greatest common factor 29278 and 29294 is 2.

Also check out the Least Common Multiple of 29278 and 29294