What is the Greatest Common Factor of 38560 and 38566?

Greatest common factor (GCF) of 38560 and 38566 is 2.

GCF(38560,38566) = 2

We will now calculate the prime factors of 38560 and 38566, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38560 and 38566.

How to find the GCF of 38560 and 38566?

We will first find the prime factorization of 38560 and 38566. After we will calculate the factors of 38560 and 38566 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 38566

Prime factors of 38566 are 2, 11, 1753. Prime factorization of 38566 in exponential form is:

38566 = 2¹ × 11¹ × 1753¹

Step-3: Factors of 38560

List of positive integer factors of 38560 that divides 38560 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

Step-4: Factors of 38566

List of positive integer factors of 38566 that divides 38560 without a remainder.

1, 2, 11, 22, 1753, 3506, 19283

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38560 and 38566. The biggest common factor number is the GCF number.
So the greatest common factor 38560 and 38566 is 2.

Also check out the Least Common Multiple of 38560 and 38566