What is the Greatest Common Factor of 97416 and 97431?

Greatest common factor (GCF) of 97416 and 97431 is 3.

GCF(97416,97431) = 3

We will now calculate the prime factors of 97416 and 97431, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97416 and 97431.

How to find the GCF of 97416 and 97431?

We will first find the prime factorization of 97416 and 97431. After we will calculate the factors of 97416 and 97431 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 97431

Prime factors of 97431 are 3, 47, 691. Prime factorization of 97431 in exponential form is:

97431 = 3¹ × 47¹ × 691¹

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 97431

List of positive integer factors of 97431 that divides 97416 without a remainder.

1, 3, 47, 141, 691, 2073, 32477

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97416 and 97431. The biggest common factor number is the GCF number.
So the greatest common factor 97416 and 97431 is 3.

Also check out the Least Common Multiple of 97416 and 97431