What is the Greatest Common Factor of 38480 and 38490?

Greatest common factor (GCF) of 38480 and 38490 is 10.

GCF(38480,38490) = 10

We will now calculate the prime factors of 38480 and 38490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38480 and 38490.

How to find the GCF of 38480 and 38490?

We will first find the prime factorization of 38480 and 38490. After we will calculate the factors of 38480 and 38490 and find the biggest common factor number .

Step-1: Prime Factorization of 38480

Prime factors of 38480 are 2, 5, 13, 37. Prime factorization of 38480 in exponential form is:

38480 = 2⁴ × 5¹ × 13¹ × 37¹

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 38480

List of positive integer factors of 38480 that divides 38480 without a remainder.

1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 37, 40, 52, 65, 74, 80, 104, 130, 148, 185, 208, 260, 296, 370, 481, 520, 592, 740, 962, 1040, 1480, 1924, 2405, 2960, 3848, 4810, 7696, 9620, 19240

Step-4: Factors of 38490

List of positive integer factors of 38490 that divides 38480 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 38480 and 38490. The biggest common factor number is the GCF number.
So the greatest common factor 38480 and 38490 is 10.

Also check out the Least Common Multiple of 38480 and 38490