What is the Greatest Common Factor of 43774 and 43794?

Greatest common factor (GCF) of 43774 and 43794 is 2.

GCF(43774,43794) = 2

We will now calculate the prime factors of 43774 and 43794, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43774 and 43794.

How to find the GCF of 43774 and 43794?

We will first find the prime factorization of 43774 and 43794. After we will calculate the factors of 43774 and 43794 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 43794

Prime factors of 43794 are 2, 3, 811. Prime factorization of 43794 in exponential form is:

43794 = 2¹ × 3³ × 811¹

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 43794

List of positive integer factors of 43794 that divides 43774 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 811, 1622, 2433, 4866, 7299, 14598, 21897

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43774 and 43794. The biggest common factor number is the GCF number.
So the greatest common factor 43774 and 43794 is 2.

Also check out the Least Common Multiple of 43774 and 43794