What is the Greatest Common Factor of 96224 and 96229?

Greatest common factor (GCF) of 96224 and 96229 is 1.

GCF(96224,96229) = 1

We will now calculate the prime factors of 96224 and 96229, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96224 and 96229.

How to find the GCF of 96224 and 96229?

We will first find the prime factorization of 96224 and 96229. After we will calculate the factors of 96224 and 96229 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 96229

Prime factors of 96229 are 7, 59, 233. Prime factorization of 96229 in exponential form is:

96229 = 7¹ × 59¹ × 233¹

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 96229

List of positive integer factors of 96229 that divides 96224 without a remainder.

1, 7, 59, 233, 413, 1631, 13747

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96224 and 96229. The biggest common factor number is the GCF number.
So the greatest common factor 96224 and 96229 is 1.

Also check out the Least Common Multiple of 96224 and 96229