What is the Greatest Common Factor of 97409 and 97416?

Greatest common factor (GCF) of 97409 and 97416 is 1.

GCF(97409,97416) = 1

We will now calculate the prime factors of 97409 and 97416, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97409 and 97416.

How to find the GCF of 97409 and 97416?

We will first find the prime factorization of 97409 and 97416. After we will calculate the factors of 97409 and 97416 and find the biggest common factor number .

Step-1: Prime Factorization of 97409

Prime factors of 97409 are 13, 59, 127. Prime factorization of 97409 in exponential form is:

97409 = 13¹ × 59¹ × 127¹

Step-2: 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-3: Factors of 97409

List of positive integer factors of 97409 that divides 97409 without a remainder.

1, 13, 59, 127, 767, 1651, 7493

Step-4: Factors of 97416

List of positive integer factors of 97416 that divides 97409 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97409 and 97416. The biggest common factor number is the GCF number.
So the greatest common factor 97409 and 97416 is 1.

Also check out the Least Common Multiple of 97409 and 97416