What is the Greatest Common Factor of 96050 and 96055?

Greatest common factor (GCF) of 96050 and 96055 is 5.

GCF(96050,96055) = 5

We will now calculate the prime factors of 96050 and 96055, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96050 and 96055.

How to find the GCF of 96050 and 96055?

We will first find the prime factorization of 96050 and 96055. After we will calculate the factors of 96050 and 96055 and find the biggest common factor number .

Step-1: Prime Factorization of 96050

Prime factors of 96050 are 2, 5, 17, 113. Prime factorization of 96050 in exponential form is:

96050 = 2¹ × 5² × 17¹ × 113¹

Step-2: Prime Factorization of 96055

Prime factors of 96055 are 5, 19211. Prime factorization of 96055 in exponential form is:

96055 = 5¹ × 19211¹

Step-3: Factors of 96050

List of positive integer factors of 96050 that divides 96050 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 85, 113, 170, 226, 425, 565, 850, 1130, 1921, 2825, 3842, 5650, 9605, 19210, 48025

Step-4: Factors of 96055

List of positive integer factors of 96055 that divides 96050 without a remainder.

1, 5, 19211

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96050 and 96055. The biggest common factor number is the GCF number.
So the greatest common factor 96050 and 96055 is 5.

Also check out the Least Common Multiple of 96050 and 96055