What is the Greatest Common Factor of 96538 and 96544?

Greatest common factor (GCF) of 96538 and 96544 is 2.

GCF(96538,96544) = 2

We will now calculate the prime factors of 96538 and 96544, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96538 and 96544.

How to find the GCF of 96538 and 96544?

We will first find the prime factorization of 96538 and 96544. After we will calculate the factors of 96538 and 96544 and find the biggest common factor number .

Step-1: Prime Factorization of 96538

Prime factors of 96538 are 2, 13, 47, 79. Prime factorization of 96538 in exponential form is:

96538 = 2¹ × 13¹ × 47¹ × 79¹

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 96538

List of positive integer factors of 96538 that divides 96538 without a remainder.

1, 2, 13, 26, 47, 79, 94, 158, 611, 1027, 1222, 2054, 3713, 7426, 48269

Step-4: Factors of 96544

List of positive integer factors of 96544 that divides 96538 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 96538 and 96544. The biggest common factor number is the GCF number.
So the greatest common factor 96538 and 96544 is 2.

Also check out the Least Common Multiple of 96538 and 96544