What is the Greatest Common Factor of 97470 and 97482?

Greatest common factor (GCF) of 97470 and 97482 is 6.

GCF(97470,97482) = 6

We will now calculate the prime factors of 97470 and 97482, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97470 and 97482.

How to find the GCF of 97470 and 97482?

We will first find the prime factorization of 97470 and 97482. After we will calculate the factors of 97470 and 97482 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 97482

Prime factors of 97482 are 2, 3, 7, 11, 211. Prime factorization of 97482 in exponential form is:

97482 = 2¹ × 3¹ × 7¹ × 11¹ × 211¹

Step-3: Factors of 97470

List of positive integer factors of 97470 that divides 97470 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

Step-4: Factors of 97482

List of positive integer factors of 97482 that divides 97470 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 211, 231, 422, 462, 633, 1266, 1477, 2321, 2954, 4431, 4642, 6963, 8862, 13926, 16247, 32494, 48741

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97470 and 97482. The biggest common factor number is the GCF number.
So the greatest common factor 97470 and 97482 is 6.

Also check out the Least Common Multiple of 97470 and 97482