What is the Greatest Common Factor of 96224 and 96241?

Greatest common factor (GCF) of 96224 and 96241 is 1.

GCF(96224,96241) = 1

We will now calculate the prime factors of 96224 and 96241, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96224 and 96241.

How to find the GCF of 96224 and 96241?

We will first find the prime factorization of 96224 and 96241. After we will calculate the factors of 96224 and 96241 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 96241

Prime factors of 96241 are 157, 613. Prime factorization of 96241 in exponential form is:

96241 = 157¹ × 613¹

Step-3: Factors of 96224

List of positive integer factors of 96224 that divides 96224 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

Step-4: Factors of 96241

List of positive integer factors of 96241 that divides 96224 without a remainder.

1, 157, 613

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96224 and 96241. The biggest common factor number is the GCF number.
So the greatest common factor 96224 and 96241 is 1.

Also check out the Least Common Multiple of 96224 and 96241