What is the Greatest Common Factor of 40774 and 40793?

Greatest common factor (GCF) of 40774 and 40793 is 19.

GCF(40774,40793) = 19

We will now calculate the prime factors of 40774 and 40793, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40774 and 40793.

How to find the GCF of 40774 and 40793?

We will first find the prime factorization of 40774 and 40793. After we will calculate the factors of 40774 and 40793 and find the biggest common factor number .

Step-1: Prime Factorization of 40774

Prime factors of 40774 are 2, 19, 29, 37. Prime factorization of 40774 in exponential form is:

40774 = 2¹ × 19¹ × 29¹ × 37¹

Step-2: Prime Factorization of 40793

Prime factors of 40793 are 19, 113. Prime factorization of 40793 in exponential form is:

40793 = 19² × 113¹

Step-3: Factors of 40774

List of positive integer factors of 40774 that divides 40774 without a remainder.

1, 2, 19, 29, 37, 38, 58, 74, 551, 703, 1073, 1102, 1406, 2146, 20387

Step-4: Factors of 40793

List of positive integer factors of 40793 that divides 40774 without a remainder.

1, 19, 113, 361, 2147

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40774 and 40793. The biggest common factor number is the GCF number.
So the greatest common factor 40774 and 40793 is 19.

Also check out the Least Common Multiple of 40774 and 40793