What is the Greatest Common Factor of 38420 and 38437?

Greatest common factor (GCF) of 38420 and 38437 is 17.

GCF(38420,38437) = 17

We will now calculate the prime factors of 38420 and 38437, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38420 and 38437.

How to find the GCF of 38420 and 38437?

We will first find the prime factorization of 38420 and 38437. After we will calculate the factors of 38420 and 38437 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 38437

Prime factors of 38437 are 7, 17, 19. Prime factorization of 38437 in exponential form is:

38437 = 7¹ × 17² × 19¹

Step-3: Factors of 38420

List of positive integer factors of 38420 that divides 38420 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

Step-4: Factors of 38437

List of positive integer factors of 38437 that divides 38420 without a remainder.

1, 7, 17, 19, 119, 133, 289, 323, 2023, 2261, 5491

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38420 and 38437. The biggest common factor number is the GCF number.
So the greatest common factor 38420 and 38437 is 17.

Also check out the Least Common Multiple of 38420 and 38437