What is the Greatest Common Factor of 29614 and 29627?

Greatest common factor (GCF) of 29614 and 29627 is 13.

GCF(29614,29627) = 13

We will now calculate the prime factors of 29614 and 29627, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29614 and 29627.

How to find the GCF of 29614 and 29627?

We will first find the prime factorization of 29614 and 29627. After we will calculate the factors of 29614 and 29627 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 29627

Prime factors of 29627 are 13, 43, 53. Prime factorization of 29627 in exponential form is:

29627 = 13¹ × 43¹ × 53¹

Step-3: Factors of 29614

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

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

Step-4: Factors of 29627

List of positive integer factors of 29627 that divides 29614 without a remainder.

1, 13, 43, 53, 559, 689, 2279

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29614 and 29627. The biggest common factor number is the GCF number.
So the greatest common factor 29614 and 29627 is 13.

Also check out the Least Common Multiple of 29614 and 29627