What is the Greatest Common Factor of 97524 and 97542?

Greatest common factor (GCF) of 97524 and 97542 is 18.

GCF(97524,97542) = 18

We will now calculate the prime factors of 97524 and 97542, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97524 and 97542.

How to find the GCF of 97524 and 97542?

We will first find the prime factorization of 97524 and 97542. After we will calculate the factors of 97524 and 97542 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 97542

Prime factors of 97542 are 2, 3, 5419. Prime factorization of 97542 in exponential form is:

97542 = 2¹ × 3² × 5419¹

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 97542

List of positive integer factors of 97542 that divides 97524 without a remainder.

1, 2, 3, 6, 9, 18, 5419, 10838, 16257, 32514, 48771

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97524 and 97542. The biggest common factor number is the GCF number.
So the greatest common factor 97524 and 97542 is 18.

Also check out the Least Common Multiple of 97524 and 97542