What is the Greatest Common Factor of 38416 and 38420?

Greatest common factor (GCF) of 38416 and 38420 is 4.

GCF(38416,38420) = 4

We will now calculate the prime factors of 38416 and 38420, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38416 and 38420.

How to find the GCF of 38416 and 38420?

We will first find the prime factorization of 38416 and 38420. After we will calculate the factors of 38416 and 38420 and find the biggest common factor number .

Step-1: Prime Factorization of 38416

Prime factors of 38416 are 2, 7. Prime factorization of 38416 in exponential form is:

38416 = 2⁴ × 7⁴

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 38416

List of positive integer factors of 38416 that divides 38416 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 343, 392, 686, 784, 1372, 2401, 2744, 4802, 5488, 9604, 19208

Step-4: Factors of 38420

List of positive integer factors of 38420 that divides 38416 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 38416 and 38420. The biggest common factor number is the GCF number.
So the greatest common factor 38416 and 38420 is 4.

Also check out the Least Common Multiple of 38416 and 38420