What is the Greatest Common Factor of 38471 and 38490?

Greatest common factor (GCF) of 38471 and 38490 is 1.

GCF(38471,38490) = 1

We will now calculate the prime factors of 38471 and 38490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38471 and 38490.

How to find the GCF of 38471 and 38490?

We will first find the prime factorization of 38471 and 38490. After we will calculate the factors of 38471 and 38490 and find the biggest common factor number .

Step-1: Prime Factorization of 38471

Prime factors of 38471 are 17, 31, 73. Prime factorization of 38471 in exponential form is:

38471 = 17¹ × 31¹ × 73¹

Step-2: Prime Factorization of 38490

Prime factors of 38490 are 2, 3, 5, 1283. Prime factorization of 38490 in exponential form is:

38490 = 2¹ × 3¹ × 5¹ × 1283¹

Step-3: Factors of 38471

List of positive integer factors of 38471 that divides 38471 without a remainder.

1, 17, 31, 73, 527, 1241, 2263

Step-4: Factors of 38490

List of positive integer factors of 38490 that divides 38471 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1283, 2566, 3849, 6415, 7698, 12830, 19245

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38471 and 38490. The biggest common factor number is the GCF number.
So the greatest common factor 38471 and 38490 is 1.

Also check out the Least Common Multiple of 38471 and 38490