What is the Greatest Common Factor of 29400 and 29417?

Greatest common factor (GCF) of 29400 and 29417 is 1.

GCF(29400,29417) = 1

We will now calculate the prime factors of 29400 and 29417, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29400 and 29417.

How to find the GCF of 29400 and 29417?

We will first find the prime factorization of 29400 and 29417. After we will calculate the factors of 29400 and 29417 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 29417

Prime factors of 29417 are 23, 1279. Prime factorization of 29417 in exponential form is:

29417 = 23¹ × 1279¹

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 29417

List of positive integer factors of 29417 that divides 29400 without a remainder.

1, 23, 1279

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29400 and 29417. The biggest common factor number is the GCF number.
So the greatest common factor 29400 and 29417 is 1.

Also check out the Least Common Multiple of 29400 and 29417