What is the Greatest Common Factor of 38090 and 38096?

Greatest common factor (GCF) of 38090 and 38096 is 2.

GCF(38090,38096) = 2

We will now calculate the prime factors of 38090 and 38096, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38090 and 38096.

How to find the GCF of 38090 and 38096?

We will first find the prime factorization of 38090 and 38096. After we will calculate the factors of 38090 and 38096 and find the biggest common factor number .

Step-1: Prime Factorization of 38090

Prime factors of 38090 are 2, 5, 13, 293. Prime factorization of 38090 in exponential form is:

38090 = 2¹ × 5¹ × 13¹ × 293¹

Step-2: Prime Factorization of 38096

Prime factors of 38096 are 2, 2381. Prime factorization of 38096 in exponential form is:

38096 = 2⁴ × 2381¹

Step-3: Factors of 38090

List of positive integer factors of 38090 that divides 38090 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 293, 586, 1465, 2930, 3809, 7618, 19045

Step-4: Factors of 38096

List of positive integer factors of 38096 that divides 38090 without a remainder.

1, 2, 4, 8, 16, 2381, 4762, 9524, 19048

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38090 and 38096. The biggest common factor number is the GCF number.
So the greatest common factor 38090 and 38096 is 2.

Also check out the Least Common Multiple of 38090 and 38096