What is the Greatest Common Factor of 96025 and 96038?

Greatest common factor (GCF) of 96025 and 96038 is 1.

GCF(96025,96038) = 1

We will now calculate the prime factors of 96025 and 96038, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96025 and 96038.

How to find the GCF of 96025 and 96038?

We will first find the prime factorization of 96025 and 96038. After we will calculate the factors of 96025 and 96038 and find the biggest common factor number .

Step-1: Prime Factorization of 96025

Prime factors of 96025 are 5, 23, 167. Prime factorization of 96025 in exponential form is:

96025 = 5² × 23¹ × 167¹

Step-2: Prime Factorization of 96038

Prime factors of 96038 are 2, 31, 1549. Prime factorization of 96038 in exponential form is:

96038 = 2¹ × 31¹ × 1549¹

Step-3: Factors of 96025

List of positive integer factors of 96025 that divides 96025 without a remainder.

1, 5, 23, 25, 115, 167, 575, 835, 3841, 4175, 19205

Step-4: Factors of 96038

List of positive integer factors of 96038 that divides 96025 without a remainder.

1, 2, 31, 62, 1549, 3098, 48019

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96025 and 96038. The biggest common factor number is the GCF number.
So the greatest common factor 96025 and 96038 is 1.

Also check out the Least Common Multiple of 96025 and 96038