What is the Greatest Common Factor of 38646 and 38665?

Greatest common factor (GCF) of 38646 and 38665 is 19.

GCF(38646,38665) = 19

We will now calculate the prime factors of 38646 and 38665, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38646 and 38665.

How to find the GCF of 38646 and 38665?

We will first find the prime factorization of 38646 and 38665. After we will calculate the factors of 38646 and 38665 and find the biggest common factor number .

Step-1: Prime Factorization of 38646

Prime factors of 38646 are 2, 3, 19, 113. Prime factorization of 38646 in exponential form is:

38646 = 2¹ × 3² × 19¹ × 113¹

Step-2: Prime Factorization of 38665

Prime factors of 38665 are 5, 11, 19, 37. Prime factorization of 38665 in exponential form is:

38665 = 5¹ × 11¹ × 19¹ × 37¹

Step-3: Factors of 38646

List of positive integer factors of 38646 that divides 38646 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 113, 114, 171, 226, 339, 342, 678, 1017, 2034, 2147, 4294, 6441, 12882, 19323

Step-4: Factors of 38665

List of positive integer factors of 38665 that divides 38646 without a remainder.

1, 5, 11, 19, 37, 55, 95, 185, 209, 407, 703, 1045, 2035, 3515, 7733

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38646 and 38665. The biggest common factor number is the GCF number.
So the greatest common factor 38646 and 38665 is 19.

Also check out the Least Common Multiple of 38646 and 38665