What is the Greatest Common Factor of 40774 and 40784?

Greatest common factor (GCF) of 40774 and 40784 is 2.

GCF(40774,40784) = 2

We will now calculate the prime factors of 40774 and 40784, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40774 and 40784.

How to find the GCF of 40774 and 40784?

We will first find the prime factorization of 40774 and 40784. After we will calculate the factors of 40774 and 40784 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 40784

Prime factors of 40784 are 2, 2549. Prime factorization of 40784 in exponential form is:

40784 = 2⁴ × 2549¹

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 40784

List of positive integer factors of 40784 that divides 40774 without a remainder.

1, 2, 4, 8, 16, 2549, 5098, 10196, 20392

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40774 and 40784. The biggest common factor number is the GCF number.
So the greatest common factor 40774 and 40784 is 2.

Also check out the Least Common Multiple of 40774 and 40784