What is the Greatest Common Factor of 97524 and 97537?

Greatest common factor (GCF) of 97524 and 97537 is 1.

GCF(97524,97537) = 1

We will now calculate the prime factors of 97524 and 97537, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97524 and 97537.

How to find the GCF of 97524 and 97537?

We will first find the prime factorization of 97524 and 97537. After we will calculate the factors of 97524 and 97537 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 97537

Prime factors of 97537 are 11, 8867. Prime factorization of 97537 in exponential form is:

97537 = 11¹ × 8867¹

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 97537

List of positive integer factors of 97537 that divides 97524 without a remainder.

1, 11, 8867

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97524 and 97537. The biggest common factor number is the GCF number.
So the greatest common factor 97524 and 97537 is 1.

Also check out the Least Common Multiple of 97524 and 97537