What is the Greatest Common Factor of 96530 and 96544?

Greatest common factor (GCF) of 96530 and 96544 is 14.

GCF(96530,96544) = 14

We will now calculate the prime factors of 96530 and 96544, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96530 and 96544.

How to find the GCF of 96530 and 96544?

We will first find the prime factorization of 96530 and 96544. After we will calculate the factors of 96530 and 96544 and find the biggest common factor number .

Step-1: Prime Factorization of 96530

Prime factors of 96530 are 2, 5, 7, 197. Prime factorization of 96530 in exponential form is:

96530 = 2¹ × 5¹ × 7² × 197¹

Step-2: 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-3: Factors of 96530

List of positive integer factors of 96530 that divides 96530 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 197, 245, 394, 490, 985, 1379, 1970, 2758, 6895, 9653, 13790, 19306, 48265

Step-4: Factors of 96544

List of positive integer factors of 96544 that divides 96530 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96530 and 96544. The biggest common factor number is the GCF number.
So the greatest common factor 96530 and 96544 is 14.

Also check out the Least Common Multiple of 96530 and 96544