What is the Greatest Common Factor of 29388 and 29407?

Greatest common factor (GCF) of 29388 and 29407 is 1.

GCF(29388,29407) = 1

We will now calculate the prime factors of 29388 and 29407, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29388 and 29407.

How to find the GCF of 29388 and 29407?

We will first find the prime factorization of 29388 and 29407. After we will calculate the factors of 29388 and 29407 and find the biggest common factor number .

Step-1: Prime Factorization of 29388

Prime factors of 29388 are 2, 3, 31, 79. Prime factorization of 29388 in exponential form is:

29388 = 2² × 3¹ × 31¹ × 79¹

Step-2: Prime Factorization of 29407

Prime factors of 29407 are 7, 4201. Prime factorization of 29407 in exponential form is:

29407 = 7¹ × 4201¹

Step-3: Factors of 29388

List of positive integer factors of 29388 that divides 29388 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 79, 93, 124, 158, 186, 237, 316, 372, 474, 948, 2449, 4898, 7347, 9796, 14694

Step-4: Factors of 29407

List of positive integer factors of 29407 that divides 29388 without a remainder.

1, 7, 4201

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29388 and 29407. The biggest common factor number is the GCF number.
So the greatest common factor 29388 and 29407 is 1.

Also check out the Least Common Multiple of 29388 and 29407