What is the Greatest Common Factor of 43769 and 43774?

Greatest common factor (GCF) of 43769 and 43774 is 1.

GCF(43769,43774) = 1

We will now calculate the prime factors of 43769 and 43774, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43769 and 43774.

How to find the GCF of 43769 and 43774?

We will first find the prime factorization of 43769 and 43774. After we will calculate the factors of 43769 and 43774 and find the biggest common factor number .

Step-1: Prime Factorization of 43769

Prime factors of 43769 are 11, 23, 173. Prime factorization of 43769 in exponential form is:

43769 = 11¹ × 23¹ × 173¹

Step-2: Prime Factorization of 43774

Prime factors of 43774 are 2, 43, 509. Prime factorization of 43774 in exponential form is:

43774 = 2¹ × 43¹ × 509¹

Step-3: Factors of 43769

List of positive integer factors of 43769 that divides 43769 without a remainder.

1, 11, 23, 173, 253, 1903, 3979

Step-4: Factors of 43774

List of positive integer factors of 43774 that divides 43769 without a remainder.

1, 2, 43, 86, 509, 1018, 21887

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43769 and 43774. The biggest common factor number is the GCF number.
So the greatest common factor 43769 and 43774 is 1.

Also check out the Least Common Multiple of 43769 and 43774