What is the Greatest Common Factor of 38480 and 38496?

Greatest common factor (GCF) of 38480 and 38496 is 16.

GCF(38480,38496) = 16

We will now calculate the prime factors of 38480 and 38496, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38480 and 38496.

How to find the GCF of 38480 and 38496?

We will first find the prime factorization of 38480 and 38496. After we will calculate the factors of 38480 and 38496 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 38496

Prime factors of 38496 are 2, 3, 401. Prime factorization of 38496 in exponential form is:

38496 = 2⁵ × 3¹ × 401¹

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 38496

List of positive integer factors of 38496 that divides 38480 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 401, 802, 1203, 1604, 2406, 3208, 4812, 6416, 9624, 12832, 19248

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38480 and 38496. The biggest common factor number is the GCF number.
So the greatest common factor 38480 and 38496 is 16.

Also check out the Least Common Multiple of 38480 and 38496