What is the Greatest Common Factor of 40774 and 40778?

Greatest common factor (GCF) of 40774 and 40778 is 2.

GCF(40774,40778) = 2

We will now calculate the prime factors of 40774 and 40778, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40774 and 40778.

How to find the GCF of 40774 and 40778?

We will first find the prime factorization of 40774 and 40778. After we will calculate the factors of 40774 and 40778 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 40778

Prime factors of 40778 are 2, 20389. Prime factorization of 40778 in exponential form is:

40778 = 2¹ × 20389¹

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 40778

List of positive integer factors of 40778 that divides 40774 without a remainder.

1, 2, 20389

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40774 and 40778. The biggest common factor number is the GCF number.
So the greatest common factor 40774 and 40778 is 2.

Also check out the Least Common Multiple of 40774 and 40778