What is the Greatest Common Factor of 38404 and 38420?

Greatest common factor (GCF) of 38404 and 38420 is 4.

GCF(38404,38420) = 4

We will now calculate the prime factors of 38404 and 38420, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38404 and 38420.

How to find the GCF of 38404 and 38420?

We will first find the prime factorization of 38404 and 38420. After we will calculate the factors of 38404 and 38420 and find the biggest common factor number .

Step-1: Prime Factorization of 38404

Prime factors of 38404 are 2, 9601. Prime factorization of 38404 in exponential form is:

38404 = 2² × 9601¹

Step-2: Prime Factorization of 38420

Prime factors of 38420 are 2, 5, 17, 113. Prime factorization of 38420 in exponential form is:

38420 = 2² × 5¹ × 17¹ × 113¹

Step-3: Factors of 38404

List of positive integer factors of 38404 that divides 38404 without a remainder.

1, 2, 4, 9601, 19202

Step-4: Factors of 38420

List of positive integer factors of 38420 that divides 38404 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 113, 170, 226, 340, 452, 565, 1130, 1921, 2260, 3842, 7684, 9605, 19210

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38404 and 38420. The biggest common factor number is the GCF number.
So the greatest common factor 38404 and 38420 is 4.

Also check out the Least Common Multiple of 38404 and 38420