What is the Greatest Common Factor of 40774 and 40780?

Greatest common factor (GCF) of 40774 and 40780 is 2.

GCF(40774,40780) = 2

We will now calculate the prime factors of 40774 and 40780, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40774 and 40780.

How to find the GCF of 40774 and 40780?

We will first find the prime factorization of 40774 and 40780. After we will calculate the factors of 40774 and 40780 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 40780

Prime factors of 40780 are 2, 5, 2039. Prime factorization of 40780 in exponential form is:

40780 = 2² × 5¹ × 2039¹

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 40780

List of positive integer factors of 40780 that divides 40774 without a remainder.

1, 2, 4, 5, 10, 20, 2039, 4078, 8156, 10195, 20390

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40774 and 40780. The biggest common factor number is the GCF number.
So the greatest common factor 40774 and 40780 is 2.

Also check out the Least Common Multiple of 40774 and 40780