What is the Greatest Common Factor of 29400 and 29406?

Greatest common factor (GCF) of 29400 and 29406 is 6.

GCF(29400,29406) = 6

We will now calculate the prime factors of 29400 and 29406, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29400 and 29406.

How to find the GCF of 29400 and 29406?

We will first find the prime factorization of 29400 and 29406. After we will calculate the factors of 29400 and 29406 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 29406

Prime factors of 29406 are 2, 3, 13, 29. Prime factorization of 29406 in exponential form is:

29406 = 2¹ × 3¹ × 13² × 29¹

Step-3: Factors of 29400

List of positive integer factors of 29400 that divides 29400 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

Step-4: Factors of 29406

List of positive integer factors of 29406 that divides 29400 without a remainder.

1, 2, 3, 6, 13, 26, 29, 39, 58, 78, 87, 169, 174, 338, 377, 507, 754, 1014, 1131, 2262, 4901, 9802, 14703

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29400 and 29406. The biggest common factor number is the GCF number.
So the greatest common factor 29400 and 29406 is 6.

Also check out the Least Common Multiple of 29400 and 29406