What is the Greatest Common Factor of 96160 and 96172?

Greatest common factor (GCF) of 96160 and 96172 is 4.

GCF(96160,96172) = 4

We will now calculate the prime factors of 96160 and 96172, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96160 and 96172.

How to find the GCF of 96160 and 96172?

We will first find the prime factorization of 96160 and 96172. After we will calculate the factors of 96160 and 96172 and find the biggest common factor number .

Step-1: Prime Factorization of 96160

Prime factors of 96160 are 2, 5, 601. Prime factorization of 96160 in exponential form is:

96160 = 2⁵ × 5¹ × 601¹

Step-2: Prime Factorization of 96172

Prime factors of 96172 are 2, 24043. Prime factorization of 96172 in exponential form is:

96172 = 2² × 24043¹

Step-3: Factors of 96160

List of positive integer factors of 96160 that divides 96160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 601, 1202, 2404, 3005, 4808, 6010, 9616, 12020, 19232, 24040, 48080

Step-4: Factors of 96172

List of positive integer factors of 96172 that divides 96160 without a remainder.

1, 2, 4, 24043, 48086

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96160 and 96172. The biggest common factor number is the GCF number.
So the greatest common factor 96160 and 96172 is 4.

Also check out the Least Common Multiple of 96160 and 96172