What is the Greatest Common Factor of 29391 and 29400?

Greatest common factor (GCF) of 29391 and 29400 is 3.

GCF(29391,29400) = 3

We will now calculate the prime factors of 29391 and 29400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29391 and 29400.

How to find the GCF of 29391 and 29400?

We will first find the prime factorization of 29391 and 29400. After we will calculate the factors of 29391 and 29400 and find the biggest common factor number .

Step-1: Prime Factorization of 29391

Prime factors of 29391 are 3, 97, 101. Prime factorization of 29391 in exponential form is:

29391 = 3¹ × 97¹ × 101¹

Step-2: Prime Factorization of 29400

Prime factors of 29400 are 2, 3, 5, 7. Prime factorization of 29400 in exponential form is:

29400 = 2³ × 3¹ × 5² × 7²

Step-3: Factors of 29391

List of positive integer factors of 29391 that divides 29391 without a remainder.

1, 3, 97, 101, 291, 303, 9797

Step-4: Factors of 29400

List of positive integer factors of 29400 that divides 29391 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 25, 28, 30, 35, 40, 42, 49, 50, 56, 60, 70, 75, 84, 98, 100, 105, 120, 140, 147, 150, 168, 175, 196, 200, 210, 245, 280, 294, 300, 350, 392, 420, 490, 525, 588, 600, 700, 735, 840, 980, 1050, 1176, 1225, 1400, 1470, 1960, 2100, 2450, 2940, 3675, 4200, 4900, 5880, 7350, 9800, 14700

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29391 and 29400. The biggest common factor number is the GCF number.
So the greatest common factor 29391 and 29400 is 3.

Also check out the Least Common Multiple of 29391 and 29400