What is the Greatest Common Factor of 97416 and 97428?

Greatest common factor (GCF) of 97416 and 97428 is 12.

GCF(97416,97428) = 12

We will now calculate the prime factors of 97416 and 97428, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97416 and 97428.

How to find the GCF of 97416 and 97428?

We will first find the prime factorization of 97416 and 97428. After we will calculate the factors of 97416 and 97428 and find the biggest common factor number .

Step-1: Prime Factorization of 97416

Prime factors of 97416 are 2, 3, 11, 41. Prime factorization of 97416 in exponential form is:

97416 = 2³ × 3³ × 11¹ × 41¹

Step-2: Prime Factorization of 97428

Prime factors of 97428 are 2, 3, 23, 353. Prime factorization of 97428 in exponential form is:

97428 = 2² × 3¹ × 23¹ × 353¹

Step-3: Factors of 97416

List of positive integer factors of 97416 that divides 97416 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 27, 33, 36, 41, 44, 54, 66, 72, 82, 88, 99, 108, 123, 132, 164, 198, 216, 246, 264, 297, 328, 369, 396, 451, 492, 594, 738, 792, 902, 984, 1107, 1188, 1353, 1476, 1804, 2214, 2376, 2706, 2952, 3608, 4059, 4428, 5412, 8118, 8856, 10824, 12177, 16236, 24354, 32472, 48708

Step-4: Factors of 97428

List of positive integer factors of 97428 that divides 97416 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276, 353, 706, 1059, 1412, 2118, 4236, 8119, 16238, 24357, 32476, 48714

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97416 and 97428. The biggest common factor number is the GCF number.
So the greatest common factor 97416 and 97428 is 12.

Also check out the Least Common Multiple of 97416 and 97428