What is the Greatest Common Factor of 97524 and 97536?

Greatest common factor (GCF) of 97524 and 97536 is 12.

GCF(97524,97536) = 12

We will now calculate the prime factors of 97524 and 97536, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97524 and 97536.

How to find the GCF of 97524 and 97536?

We will first find the prime factorization of 97524 and 97536. After we will calculate the factors of 97524 and 97536 and find the biggest common factor number .

Step-1: Prime Factorization of 97524

Prime factors of 97524 are 2, 3, 7, 43. Prime factorization of 97524 in exponential form is:

97524 = 2² × 3⁴ × 7¹ × 43¹

Step-2: Prime Factorization of 97536

Prime factors of 97536 are 2, 3, 127. Prime factorization of 97536 in exponential form is:

97536 = 2⁸ × 3¹ × 127¹

Step-3: Factors of 97524

List of positive integer factors of 97524 that divides 97524 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 43, 54, 63, 81, 84, 86, 108, 126, 129, 162, 172, 189, 252, 258, 301, 324, 378, 387, 516, 567, 602, 756, 774, 903, 1134, 1161, 1204, 1548, 1806, 2268, 2322, 2709, 3483, 3612, 4644, 5418, 6966, 8127, 10836, 13932, 16254, 24381, 32508, 48762

Step-4: Factors of 97536

List of positive integer factors of 97536 that divides 97524 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 127, 128, 192, 254, 256, 381, 384, 508, 762, 768, 1016, 1524, 2032, 3048, 4064, 6096, 8128, 12192, 16256, 24384, 32512, 48768

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97524 and 97536. The biggest common factor number is the GCF number.
So the greatest common factor 97524 and 97536 is 12.

Also check out the Least Common Multiple of 97524 and 97536