What is the Greatest Common Factor of 97461 and 97470?

Greatest common factor (GCF) of 97461 and 97470 is 9.

GCF(97461,97470) = 9

We will now calculate the prime factors of 97461 and 97470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97461 and 97470.

How to find the GCF of 97461 and 97470?

We will first find the prime factorization of 97461 and 97470. After we will calculate the factors of 97461 and 97470 and find the biggest common factor number .

Step-1: Prime Factorization of 97461

Prime factors of 97461 are 3, 7, 13, 17. Prime factorization of 97461 in exponential form is:

97461 = 3² × 7² × 13¹ × 17¹

Step-2: Prime Factorization of 97470

Prime factors of 97470 are 2, 3, 5, 19. Prime factorization of 97470 in exponential form is:

97470 = 2¹ × 3³ × 5¹ × 19²

Step-3: Factors of 97461

List of positive integer factors of 97461 that divides 97461 without a remainder.

1, 3, 7, 9, 13, 17, 21, 39, 49, 51, 63, 91, 117, 119, 147, 153, 221, 273, 357, 441, 637, 663, 819, 833, 1071, 1547, 1911, 1989, 2499, 4641, 5733, 7497, 10829, 13923, 32487

Step-4: Factors of 97470

List of positive integer factors of 97470 that divides 97461 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 19, 27, 30, 38, 45, 54, 57, 90, 95, 114, 135, 171, 190, 270, 285, 342, 361, 513, 570, 722, 855, 1026, 1083, 1710, 1805, 2166, 2565, 3249, 3610, 5130, 5415, 6498, 9747, 10830, 16245, 19494, 32490, 48735

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97461 and 97470. The biggest common factor number is the GCF number.
So the greatest common factor 97461 and 97470 is 9.

Also check out the Least Common Multiple of 97461 and 97470