What is the Greatest Common Factor of 96208 and 96224?

Greatest common factor (GCF) of 96208 and 96224 is 16.

GCF(96208,96224) = 16

We will now calculate the prime factors of 96208 and 96224, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96208 and 96224.

How to find the GCF of 96208 and 96224?

We will first find the prime factorization of 96208 and 96224. After we will calculate the factors of 96208 and 96224 and find the biggest common factor number .

Step-1: Prime Factorization of 96208

Prime factors of 96208 are 2, 7, 859. Prime factorization of 96208 in exponential form is:

96208 = 2⁴ × 7¹ × 859¹

Step-2: Prime Factorization of 96224

Prime factors of 96224 are 2, 31, 97. Prime factorization of 96224 in exponential form is:

96224 = 2⁵ × 31¹ × 97¹

Step-3: Factors of 96208

List of positive integer factors of 96208 that divides 96208 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 859, 1718, 3436, 6013, 6872, 12026, 13744, 24052, 48104

Step-4: Factors of 96224

List of positive integer factors of 96224 that divides 96208 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 97, 124, 194, 248, 388, 496, 776, 992, 1552, 3007, 3104, 6014, 12028, 24056, 48112

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96208 and 96224. The biggest common factor number is the GCF number.
So the greatest common factor 96208 and 96224 is 16.

Also check out the Least Common Multiple of 96208 and 96224