What is the Greatest Common Factor of 29604 and 29614?

Greatest common factor (GCF) of 29604 and 29614 is 2.

GCF(29604,29614) = 2

We will now calculate the prime factors of 29604 and 29614, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29604 and 29614.

How to find the GCF of 29604 and 29614?

We will first find the prime factorization of 29604 and 29614. After we will calculate the factors of 29604 and 29614 and find the biggest common factor number .

Step-1: Prime Factorization of 29604

Prime factors of 29604 are 2, 3, 2467. Prime factorization of 29604 in exponential form is:

29604 = 2² × 3¹ × 2467¹

Step-2: Prime Factorization of 29614

Prime factors of 29614 are 2, 13, 17, 67. Prime factorization of 29614 in exponential form is:

29614 = 2¹ × 13¹ × 17¹ × 67¹

Step-3: Factors of 29604

List of positive integer factors of 29604 that divides 29604 without a remainder.

1, 2, 3, 4, 6, 12, 2467, 4934, 7401, 9868, 14802

Step-4: Factors of 29614

List of positive integer factors of 29614 that divides 29604 without a remainder.

1, 2, 13, 17, 26, 34, 67, 134, 221, 442, 871, 1139, 1742, 2278, 14807

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29604 and 29614. The biggest common factor number is the GCF number.
So the greatest common factor 29604 and 29614 is 2.

Also check out the Least Common Multiple of 29604 and 29614