What is the Greatest Common Factor of 29766 and 29777?

Greatest common factor (GCF) of 29766 and 29777 is 11.

GCF(29766,29777) = 11

We will now calculate the prime factors of 29766 and 29777, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29766 and 29777.

How to find the GCF of 29766 and 29777?

We will first find the prime factorization of 29766 and 29777. After we will calculate the factors of 29766 and 29777 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 29777

Prime factors of 29777 are 11, 2707. Prime factorization of 29777 in exponential form is:

29777 = 11¹ × 2707¹

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 29777

List of positive integer factors of 29777 that divides 29766 without a remainder.

1, 11, 2707

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29766 and 29777. The biggest common factor number is the GCF number.
So the greatest common factor 29766 and 29777 is 11.

Also check out the Least Common Multiple of 29766 and 29777