What is the Greatest Common Factor of 96544 and 96560?

Greatest common factor (GCF) of 96544 and 96560 is 16.

GCF(96544,96560) = 16

We will now calculate the prime factors of 96544 and 96560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96544 and 96560.

How to find the GCF of 96544 and 96560?

We will first find the prime factorization of 96544 and 96560. After we will calculate the factors of 96544 and 96560 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 96560

Prime factors of 96560 are 2, 5, 17, 71. Prime factorization of 96560 in exponential form is:

96560 = 2⁴ × 5¹ × 17¹ × 71¹

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 96560

List of positive integer factors of 96560 that divides 96544 without a remainder.

1, 2, 4, 5, 8, 10, 16, 17, 20, 34, 40, 68, 71, 80, 85, 136, 142, 170, 272, 284, 340, 355, 568, 680, 710, 1136, 1207, 1360, 1420, 2414, 2840, 4828, 5680, 6035, 9656, 12070, 19312, 24140, 48280

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96544 and 96560. The biggest common factor number is the GCF number.
So the greatest common factor 96544 and 96560 is 16.

Also check out the Least Common Multiple of 96544 and 96560