What is the Greatest Common Factor of 94470 and 94485?

Greatest common factor (GCF) of 94470 and 94485 is 15.

GCF(94470,94485) = 15

We will now calculate the prime factors of 94470 and 94485, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94470 and 94485.

How to find the GCF of 94470 and 94485?

We will first find the prime factorization of 94470 and 94485. After we will calculate the factors of 94470 and 94485 and find the biggest common factor number .

Step-1: Prime Factorization of 94470

Prime factors of 94470 are 2, 3, 5, 47, 67. Prime factorization of 94470 in exponential form is:

94470 = 2¹ × 3¹ × 5¹ × 47¹ × 67¹

Step-2: Prime Factorization of 94485

Prime factors of 94485 are 3, 5, 6299. Prime factorization of 94485 in exponential form is:

94485 = 3¹ × 5¹ × 6299¹

Step-3: Factors of 94470

List of positive integer factors of 94470 that divides 94470 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 47, 67, 94, 134, 141, 201, 235, 282, 335, 402, 470, 670, 705, 1005, 1410, 2010, 3149, 6298, 9447, 15745, 18894, 31490, 47235

Step-4: Factors of 94485

List of positive integer factors of 94485 that divides 94470 without a remainder.

1, 3, 5, 15, 6299, 18897, 31495

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94470 and 94485. The biggest common factor number is the GCF number.
So the greatest common factor 94470 and 94485 is 15.

Also check out the Least Common Multiple of 94470 and 94485