What is the Greatest Common Factor of 38290 and 38296?

Greatest common factor (GCF) of 38290 and 38296 is 2.

GCF(38290,38296) = 2

We will now calculate the prime factors of 38290 and 38296, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38290 and 38296.

How to find the GCF of 38290 and 38296?

We will first find the prime factorization of 38290 and 38296. After we will calculate the factors of 38290 and 38296 and find the biggest common factor number .

Step-1: Prime Factorization of 38290

Prime factors of 38290 are 2, 5, 7, 547. Prime factorization of 38290 in exponential form is:

38290 = 2¹ × 5¹ × 7¹ × 547¹

Step-2: Prime Factorization of 38296

Prime factors of 38296 are 2, 4787. Prime factorization of 38296 in exponential form is:

38296 = 2³ × 4787¹

Step-3: Factors of 38290

List of positive integer factors of 38290 that divides 38290 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 547, 1094, 2735, 3829, 5470, 7658, 19145

Step-4: Factors of 38296

List of positive integer factors of 38296 that divides 38290 without a remainder.

1, 2, 4, 8, 4787, 9574, 19148

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38290 and 38296. The biggest common factor number is the GCF number.
So the greatest common factor 38290 and 38296 is 2.

Also check out the Least Common Multiple of 38290 and 38296