What is the Greatest Common Factor of 97524 and 97538?

Greatest common factor (GCF) of 97524 and 97538 is 14.

GCF(97524,97538) = 14

We will now calculate the prime factors of 97524 and 97538, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97524 and 97538.

How to find the GCF of 97524 and 97538?

We will first find the prime factorization of 97524 and 97538. After we will calculate the factors of 97524 and 97538 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 97538

Prime factors of 97538 are 2, 7, 6967. Prime factorization of 97538 in exponential form is:

97538 = 2¹ × 7¹ × 6967¹

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 97538

List of positive integer factors of 97538 that divides 97524 without a remainder.

1, 2, 7, 14, 6967, 13934, 48769

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97524 and 97538. The biggest common factor number is the GCF number.
So the greatest common factor 97524 and 97538 is 14.

Also check out the Least Common Multiple of 97524 and 97538