What is the Greatest Common Factor of 96544 and 96558?

Greatest common factor (GCF) of 96544 and 96558 is 14.

GCF(96544,96558) = 14

We will now calculate the prime factors of 96544 and 96558, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96544 and 96558.

How to find the GCF of 96544 and 96558?

We will first find the prime factorization of 96544 and 96558. After we will calculate the factors of 96544 and 96558 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 96558

Prime factors of 96558 are 2, 3, 7, 11, 19. Prime factorization of 96558 in exponential form is:

96558 = 2¹ × 3¹ × 7¹ × 11² × 19¹

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 96558

List of positive integer factors of 96558 that divides 96544 without a remainder.

1, 2, 3, 6, 7, 11, 14, 19, 21, 22, 33, 38, 42, 57, 66, 77, 114, 121, 133, 154, 209, 231, 242, 266, 363, 399, 418, 462, 627, 726, 798, 847, 1254, 1463, 1694, 2299, 2541, 2926, 4389, 4598, 5082, 6897, 8778, 13794, 16093, 32186, 48279

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96544 and 96558. The biggest common factor number is the GCF number.
So the greatest common factor 96544 and 96558 is 14.

Also check out the Least Common Multiple of 96544 and 96558