What is the Greatest Common Factor of 97470 and 97480?

Greatest common factor (GCF) of 97470 and 97480 is 10.

GCF(97470,97480) = 10

We will now calculate the prime factors of 97470 and 97480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97470 and 97480.

How to find the GCF of 97470 and 97480?

We will first find the prime factorization of 97470 and 97480. After we will calculate the factors of 97470 and 97480 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 97480

Prime factors of 97480 are 2, 5, 2437. Prime factorization of 97480 in exponential form is:

97480 = 2³ × 5¹ × 2437¹

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 97480

List of positive integer factors of 97480 that divides 97470 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 2437, 4874, 9748, 12185, 19496, 24370, 48740

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97470 and 97480. The biggest common factor number is the GCF number.
So the greatest common factor 97470 and 97480 is 10.

Also check out the Least Common Multiple of 97470 and 97480