What is the Greatest Common Factor of 38005 and 38010?

Greatest common factor (GCF) of 38005 and 38010 is 5.

GCF(38005,38010) = 5

We will now calculate the prime factors of 38005 and 38010, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38005 and 38010.

How to find the GCF of 38005 and 38010?

We will first find the prime factorization of 38005 and 38010. After we will calculate the factors of 38005 and 38010 and find the biggest common factor number .

Step-1: Prime Factorization of 38005

Prime factors of 38005 are 5, 11, 691. Prime factorization of 38005 in exponential form is:

38005 = 5¹ × 11¹ × 691¹

Step-2: Prime Factorization of 38010

Prime factors of 38010 are 2, 3, 5, 7, 181. Prime factorization of 38010 in exponential form is:

38010 = 2¹ × 3¹ × 5¹ × 7¹ × 181¹

Step-3: Factors of 38005

List of positive integer factors of 38005 that divides 38005 without a remainder.

1, 5, 11, 55, 691, 3455, 7601

Step-4: Factors of 38010

List of positive integer factors of 38010 that divides 38005 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 181, 210, 362, 543, 905, 1086, 1267, 1810, 2534, 2715, 3801, 5430, 6335, 7602, 12670, 19005

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38005 and 38010. The biggest common factor number is the GCF number.
So the greatest common factor 38005 and 38010 is 5.

Also check out the Least Common Multiple of 38005 and 38010