What is the Greatest Common Factor of 38465 and 38474?

Greatest common factor (GCF) of 38465 and 38474 is 1.

GCF(38465,38474) = 1

We will now calculate the prime factors of 38465 and 38474, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38465 and 38474.

How to find the GCF of 38465 and 38474?

We will first find the prime factorization of 38465 and 38474. After we will calculate the factors of 38465 and 38474 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 38474

Prime factors of 38474 are 2, 19237. Prime factorization of 38474 in exponential form is:

38474 = 2¹ × 19237¹

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 38474

List of positive integer factors of 38474 that divides 38465 without a remainder.

1, 2, 19237

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38465 and 38474. The biggest common factor number is the GCF number.
So the greatest common factor 38465 and 38474 is 1.

Also check out the Least Common Multiple of 38465 and 38474