What is the Greatest Common Factor of 94450 and 94470?

Greatest common factor (GCF) of 94450 and 94470 is 10.

GCF(94450,94470) = 10

We will now calculate the prime factors of 94450 and 94470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94450 and 94470.

How to find the GCF of 94450 and 94470?

We will first find the prime factorization of 94450 and 94470. After we will calculate the factors of 94450 and 94470 and find the biggest common factor number .

Step-1: Prime Factorization of 94450

Prime factors of 94450 are 2, 5, 1889. Prime factorization of 94450 in exponential form is:

94450 = 2¹ × 5² × 1889¹

Step-2: 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-3: Factors of 94450

List of positive integer factors of 94450 that divides 94450 without a remainder.

1, 2, 5, 10, 25, 50, 1889, 3778, 9445, 18890, 47225

Step-4: Factors of 94470

List of positive integer factors of 94470 that divides 94450 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94450 and 94470. The biggest common factor number is the GCF number.
So the greatest common factor 94450 and 94470 is 10.

Also check out the Least Common Multiple of 94450 and 94470