What is the Greatest Common Factor of 41778 and 41789?

Greatest common factor (GCF) of 41778 and 41789 is 11.

GCF(41778,41789) = 11

We will now calculate the prime factors of 41778 and 41789, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41778 and 41789.

How to find the GCF of 41778 and 41789?

We will first find the prime factorization of 41778 and 41789. After we will calculate the factors of 41778 and 41789 and find the biggest common factor number .

Step-1: Prime Factorization of 41778

Prime factors of 41778 are 2, 3, 11, 211. Prime factorization of 41778 in exponential form is:

41778 = 2¹ × 3² × 11¹ × 211¹

Step-2: Prime Factorization of 41789

Prime factors of 41789 are 11, 29, 131. Prime factorization of 41789 in exponential form is:

41789 = 11¹ × 29¹ × 131¹

Step-3: Factors of 41778

List of positive integer factors of 41778 that divides 41778 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198, 211, 422, 633, 1266, 1899, 2321, 3798, 4642, 6963, 13926, 20889

Step-4: Factors of 41789

List of positive integer factors of 41789 that divides 41778 without a remainder.

1, 11, 29, 131, 319, 1441, 3799

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41778 and 41789. The biggest common factor number is the GCF number.
So the greatest common factor 41778 and 41789 is 11.

Also check out the Least Common Multiple of 41778 and 41789