What is the Greatest Common Factor of 38245 and 38255?

Greatest common factor (GCF) of 38245 and 38255 is 5.

GCF(38245,38255) = 5

We will now calculate the prime factors of 38245 and 38255, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38245 and 38255.

How to find the GCF of 38245 and 38255?

We will first find the prime factorization of 38245 and 38255. After we will calculate the factors of 38245 and 38255 and find the biggest common factor number .

Step-1: Prime Factorization of 38245

Prime factors of 38245 are 5, 7649. Prime factorization of 38245 in exponential form is:

38245 = 5¹ × 7649¹

Step-2: Prime Factorization of 38255

Prime factors of 38255 are 5, 7, 1093. Prime factorization of 38255 in exponential form is:

38255 = 5¹ × 7¹ × 1093¹

Step-3: Factors of 38245

List of positive integer factors of 38245 that divides 38245 without a remainder.

1, 5, 7649

Step-4: Factors of 38255

List of positive integer factors of 38255 that divides 38245 without a remainder.

1, 5, 7, 35, 1093, 5465, 7651

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38245 and 38255. The biggest common factor number is the GCF number.
So the greatest common factor 38245 and 38255 is 5.

Also check out the Least Common Multiple of 38245 and 38255