What is the Greatest Common Factor of 38774 and 38790?

Greatest common factor (GCF) of 38774 and 38790 is 2.

GCF(38774,38790) = 2

We will now calculate the prime factors of 38774 and 38790, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38774 and 38790.

How to find the GCF of 38774 and 38790?

We will first find the prime factorization of 38774 and 38790. After we will calculate the factors of 38774 and 38790 and find the biggest common factor number .

Step-1: Prime Factorization of 38774

Prime factors of 38774 are 2, 19387. Prime factorization of 38774 in exponential form is:

38774 = 2¹ × 19387¹

Step-2: Prime Factorization of 38790

Prime factors of 38790 are 2, 3, 5, 431. Prime factorization of 38790 in exponential form is:

38790 = 2¹ × 3² × 5¹ × 431¹

Step-3: Factors of 38774

List of positive integer factors of 38774 that divides 38774 without a remainder.

1, 2, 19387

Step-4: Factors of 38790

List of positive integer factors of 38790 that divides 38774 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 431, 862, 1293, 2155, 2586, 3879, 4310, 6465, 7758, 12930, 19395

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38774 and 38790. The biggest common factor number is the GCF number.
So the greatest common factor 38774 and 38790 is 2.

Also check out the Least Common Multiple of 38774 and 38790