What is the Greatest Common Factor of 38248 and 38255?

Greatest common factor (GCF) of 38248 and 38255 is 7.

GCF(38248,38255) = 7

We will now calculate the prime factors of 38248 and 38255, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38248 and 38255.

How to find the GCF of 38248 and 38255?

We will first find the prime factorization of 38248 and 38255. After we will calculate the factors of 38248 and 38255 and find the biggest common factor number .

Step-1: Prime Factorization of 38248

Prime factors of 38248 are 2, 7, 683. Prime factorization of 38248 in exponential form is:

38248 = 2³ × 7¹ × 683¹

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 38248

List of positive integer factors of 38248 that divides 38248 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 683, 1366, 2732, 4781, 5464, 9562, 19124

Step-4: Factors of 38255

List of positive integer factors of 38255 that divides 38248 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38248 and 38255. The biggest common factor number is the GCF number.
So the greatest common factor 38248 and 38255 is 7.

Also check out the Least Common Multiple of 38248 and 38255