What is the Greatest Common Factor of 38540 and 38560?

Greatest common factor (GCF) of 38540 and 38560 is 20.

GCF(38540,38560) = 20

We will now calculate the prime factors of 38540 and 38560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38540 and 38560.

How to find the GCF of 38540 and 38560?

We will first find the prime factorization of 38540 and 38560. After we will calculate the factors of 38540 and 38560 and find the biggest common factor number .

Step-1: Prime Factorization of 38540

Prime factors of 38540 are 2, 5, 41, 47. Prime factorization of 38540 in exponential form is:

38540 = 2² × 5¹ × 41¹ × 47¹

Step-2: Prime Factorization of 38560

Prime factors of 38560 are 2, 5, 241. Prime factorization of 38560 in exponential form is:

38560 = 2⁵ × 5¹ × 241¹

Step-3: Factors of 38540

List of positive integer factors of 38540 that divides 38540 without a remainder.

1, 2, 4, 5, 10, 20, 41, 47, 82, 94, 164, 188, 205, 235, 410, 470, 820, 940, 1927, 3854, 7708, 9635, 19270

Step-4: Factors of 38560

List of positive integer factors of 38560 that divides 38540 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 241, 482, 964, 1205, 1928, 2410, 3856, 4820, 7712, 9640, 19280

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38540 and 38560. The biggest common factor number is the GCF number.
So the greatest common factor 38540 and 38560 is 20.

Also check out the Least Common Multiple of 38540 and 38560