What is the Greatest Common Factor of 29804 and 29814?

Greatest common factor (GCF) of 29804 and 29814 is 2.

GCF(29804,29814) = 2

We will now calculate the prime factors of 29804 and 29814, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29804 and 29814.

How to find the GCF of 29804 and 29814?

We will first find the prime factorization of 29804 and 29814. After we will calculate the factors of 29804 and 29814 and find the biggest common factor number .

Step-1: Prime Factorization of 29804

Prime factors of 29804 are 2, 7451. Prime factorization of 29804 in exponential form is:

29804 = 2² × 7451¹

Step-2: Prime Factorization of 29814

Prime factors of 29814 are 2, 3, 4969. Prime factorization of 29814 in exponential form is:

29814 = 2¹ × 3¹ × 4969¹

Step-3: Factors of 29804

List of positive integer factors of 29804 that divides 29804 without a remainder.

1, 2, 4, 7451, 14902

Step-4: Factors of 29814

List of positive integer factors of 29814 that divides 29804 without a remainder.

1, 2, 3, 6, 4969, 9938, 14907

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29804 and 29814. The biggest common factor number is the GCF number.
So the greatest common factor 29804 and 29814 is 2.

Also check out the Least Common Multiple of 29804 and 29814