What is the Greatest Common Factor of 97510 and 97524?

Greatest common factor (GCF) of 97510 and 97524 is 14.

GCF(97510,97524) = 14

We will now calculate the prime factors of 97510 and 97524, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97510 and 97524.

How to find the GCF of 97510 and 97524?

We will first find the prime factorization of 97510 and 97524. After we will calculate the factors of 97510 and 97524 and find the biggest common factor number .

Step-1: Prime Factorization of 97510

Prime factors of 97510 are 2, 5, 7, 199. Prime factorization of 97510 in exponential form is:

97510 = 2¹ × 5¹ × 7² × 199¹

Step-2: 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-3: Factors of 97510

List of positive integer factors of 97510 that divides 97510 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 199, 245, 398, 490, 995, 1393, 1990, 2786, 6965, 9751, 13930, 19502, 48755

Step-4: Factors of 97524

List of positive integer factors of 97524 that divides 97510 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97510 and 97524. The biggest common factor number is the GCF number.
So the greatest common factor 97510 and 97524 is 14.

Also check out the Least Common Multiple of 97510 and 97524