What is the Greatest Common Factor of 29766 and 29784?

Greatest common factor (GCF) of 29766 and 29784 is 6.

GCF(29766,29784) = 6

We will now calculate the prime factors of 29766 and 29784, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29766 and 29784.

How to find the GCF of 29766 and 29784?

We will first find the prime factorization of 29766 and 29784. After we will calculate the factors of 29766 and 29784 and find the biggest common factor number .

Step-1: Prime Factorization of 29766

Prime factors of 29766 are 2, 3, 11, 41. Prime factorization of 29766 in exponential form is:

29766 = 2¹ × 3¹ × 11² × 41¹

Step-2: Prime Factorization of 29784

Prime factors of 29784 are 2, 3, 17, 73. Prime factorization of 29784 in exponential form is:

29784 = 2³ × 3¹ × 17¹ × 73¹

Step-3: Factors of 29766

List of positive integer factors of 29766 that divides 29766 without a remainder.

1, 2, 3, 6, 11, 22, 33, 41, 66, 82, 121, 123, 242, 246, 363, 451, 726, 902, 1353, 2706, 4961, 9922, 14883

Step-4: Factors of 29784

List of positive integer factors of 29784 that divides 29766 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 73, 102, 136, 146, 204, 219, 292, 408, 438, 584, 876, 1241, 1752, 2482, 3723, 4964, 7446, 9928, 14892

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29766 and 29784. The biggest common factor number is the GCF number.
So the greatest common factor 29766 and 29784 is 6.

Also check out the Least Common Multiple of 29766 and 29784