What is the Greatest Common Factor of 43774 and 43785?

Greatest common factor (GCF) of 43774 and 43785 is 1.

GCF(43774,43785) = 1

We will now calculate the prime factors of 43774 and 43785, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43774 and 43785.

How to find the GCF of 43774 and 43785?

We will first find the prime factorization of 43774 and 43785. After we will calculate the factors of 43774 and 43785 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 43785

Prime factors of 43785 are 3, 5, 7, 139. Prime factorization of 43785 in exponential form is:

43785 = 3² × 5¹ × 7¹ × 139¹

Step-3: Factors of 43774

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

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

Step-4: Factors of 43785

List of positive integer factors of 43785 that divides 43774 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 139, 315, 417, 695, 973, 1251, 2085, 2919, 4865, 6255, 8757, 14595

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43774 and 43785. The biggest common factor number is the GCF number.
So the greatest common factor 43774 and 43785 is 1.

Also check out the Least Common Multiple of 43774 and 43785