What is the Greatest Common Factor of 96280 and 96296?

Greatest common factor (GCF) of 96280 and 96296 is 8.

GCF(96280,96296) = 8

We will now calculate the prime factors of 96280 and 96296, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96280 and 96296.

How to find the GCF of 96280 and 96296?

We will first find the prime factorization of 96280 and 96296. After we will calculate the factors of 96280 and 96296 and find the biggest common factor number .

Step-1: Prime Factorization of 96280

Prime factors of 96280 are 2, 5, 29, 83. Prime factorization of 96280 in exponential form is:

96280 = 2³ × 5¹ × 29¹ × 83¹

Step-2: Prime Factorization of 96296

Prime factors of 96296 are 2, 12037. Prime factorization of 96296 in exponential form is:

96296 = 2³ × 12037¹

Step-3: Factors of 96280

List of positive integer factors of 96280 that divides 96280 without a remainder.

1, 2, 4, 5, 8, 10, 20, 29, 40, 58, 83, 116, 145, 166, 232, 290, 332, 415, 580, 664, 830, 1160, 1660, 2407, 3320, 4814, 9628, 12035, 19256, 24070, 48140

Step-4: Factors of 96296

List of positive integer factors of 96296 that divides 96280 without a remainder.

1, 2, 4, 8, 12037, 24074, 48148

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96280 and 96296. The biggest common factor number is the GCF number.
So the greatest common factor 96280 and 96296 is 8.

Also check out the Least Common Multiple of 96280 and 96296