What is the Greatest Common Factor of 29700 and 29711?

Greatest common factor (GCF) of 29700 and 29711 is 11.

GCF(29700,29711) = 11

We will now calculate the prime factors of 29700 and 29711, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29700 and 29711.

How to find the GCF of 29700 and 29711?

We will first find the prime factorization of 29700 and 29711. After we will calculate the factors of 29700 and 29711 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 29711

Prime factors of 29711 are 11, 37, 73. Prime factorization of 29711 in exponential form is:

29711 = 11¹ × 37¹ × 73¹

Step-3: Factors of 29700

List of positive integer factors of 29700 that divides 29700 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

Step-4: Factors of 29711

List of positive integer factors of 29711 that divides 29700 without a remainder.

1, 11, 37, 73, 407, 803, 2701

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29700 and 29711. The biggest common factor number is the GCF number.
So the greatest common factor 29700 and 29711 is 11.

Also check out the Least Common Multiple of 29700 and 29711