What is the Greatest Common Factor of 38665 and 38675?

Greatest common factor (GCF) of 38665 and 38675 is 5.

GCF(38665,38675) = 5

We will now calculate the prime factors of 38665 and 38675, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38665 and 38675.

How to find the GCF of 38665 and 38675?

We will first find the prime factorization of 38665 and 38675. After we will calculate the factors of 38665 and 38675 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 38675

Prime factors of 38675 are 5, 7, 13, 17. Prime factorization of 38675 in exponential form is:

38675 = 5² × 7¹ × 13¹ × 17¹

Step-3: Factors of 38665

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

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

Step-4: Factors of 38675

List of positive integer factors of 38675 that divides 38665 without a remainder.

1, 5, 7, 13, 17, 25, 35, 65, 85, 91, 119, 175, 221, 325, 425, 455, 595, 1105, 1547, 2275, 2975, 5525, 7735

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38665 and 38675. The biggest common factor number is the GCF number.
So the greatest common factor 38665 and 38675 is 5.

Also check out the Least Common Multiple of 38665 and 38675