What is the Greatest Common Factor of 29687 and 29700?

Greatest common factor (GCF) of 29687 and 29700 is 1.

GCF(29687,29700) = 1

We will now calculate the prime factors of 29687 and 29700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29687 and 29700.

How to find the GCF of 29687 and 29700?

We will first find the prime factorization of 29687 and 29700. After we will calculate the factors of 29687 and 29700 and find the biggest common factor number .

Step-1: Prime Factorization of 29687

Prime factors of 29687 are 7, 4241. Prime factorization of 29687 in exponential form is:

29687 = 7¹ × 4241¹

Step-2: Prime Factorization of 29700

Prime factors of 29700 are 2, 3, 5, 11. Prime factorization of 29700 in exponential form is:

29700 = 2² × 3³ × 5² × 11¹

Step-3: Factors of 29687

List of positive integer factors of 29687 that divides 29687 without a remainder.

1, 7, 4241

Step-4: Factors of 29700

List of positive integer factors of 29700 that divides 29687 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 11, 12, 15, 18, 20, 22, 25, 27, 30, 33, 36, 44, 45, 50, 54, 55, 60, 66, 75, 90, 99, 100, 108, 110, 132, 135, 150, 165, 180, 198, 220, 225, 270, 275, 297, 300, 330, 396, 450, 495, 540, 550, 594, 660, 675, 825, 900, 990, 1100, 1188, 1350, 1485, 1650, 1980, 2475, 2700, 2970, 3300, 4950, 5940, 7425, 9900, 14850

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29687 and 29700. The biggest common factor number is the GCF number.
So the greatest common factor 29687 and 29700 is 1.

Also check out the Least Common Multiple of 29687 and 29700