What is the Greatest Common Factor of 38465 and 38470?

Greatest common factor (GCF) of 38465 and 38470 is 5.

GCF(38465,38470) = 5

We will now calculate the prime factors of 38465 and 38470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38465 and 38470.

How to find the GCF of 38465 and 38470?

We will first find the prime factorization of 38465 and 38470. After we will calculate the factors of 38465 and 38470 and find the biggest common factor number .

Step-1: Prime Factorization of 38465

Prime factors of 38465 are 5, 7, 157. Prime factorization of 38465 in exponential form is:

38465 = 5¹ × 7² × 157¹

Step-2: Prime Factorization of 38470

Prime factors of 38470 are 2, 5, 3847. Prime factorization of 38470 in exponential form is:

38470 = 2¹ × 5¹ × 3847¹

Step-3: Factors of 38465

List of positive integer factors of 38465 that divides 38465 without a remainder.

1, 5, 7, 35, 49, 157, 245, 785, 1099, 5495, 7693

Step-4: Factors of 38470

List of positive integer factors of 38470 that divides 38465 without a remainder.

1, 2, 5, 10, 3847, 7694, 19235

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38465 and 38470. The biggest common factor number is the GCF number.
So the greatest common factor 38465 and 38470 is 5.

Also check out the Least Common Multiple of 38465 and 38470