What is the Greatest Common Factor of 96544 and 96554?

Greatest common factor (GCF) of 96544 and 96554 is 2.

GCF(96544,96554) = 2

We will now calculate the prime factors of 96544 and 96554, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96544 and 96554.

How to find the GCF of 96544 and 96554?

We will first find the prime factorization of 96544 and 96554. After we will calculate the factors of 96544 and 96554 and find the biggest common factor number .

Step-1: Prime Factorization of 96544

Prime factors of 96544 are 2, 7, 431. Prime factorization of 96544 in exponential form is:

96544 = 2⁵ × 7¹ × 431¹

Step-2: Prime Factorization of 96554

Prime factors of 96554 are 2, 23, 2099. Prime factorization of 96554 in exponential form is:

96554 = 2¹ × 23¹ × 2099¹

Step-3: Factors of 96544

List of positive integer factors of 96544 that divides 96544 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224, 431, 862, 1724, 3017, 3448, 6034, 6896, 12068, 13792, 24136, 48272

Step-4: Factors of 96554

List of positive integer factors of 96554 that divides 96544 without a remainder.

1, 2, 23, 46, 2099, 4198, 48277

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96544 and 96554. The biggest common factor number is the GCF number.
So the greatest common factor 96544 and 96554 is 2.

Also check out the Least Common Multiple of 96544 and 96554