What is the Greatest Common Factor of 94425 and 94430?

Greatest common factor (GCF) of 94425 and 94430 is 5.

GCF(94425,94430) = 5

We will now calculate the prime factors of 94425 and 94430, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94425 and 94430.

How to find the GCF of 94425 and 94430?

We will first find the prime factorization of 94425 and 94430. After we will calculate the factors of 94425 and 94430 and find the biggest common factor number .

Step-1: Prime Factorization of 94425

Prime factors of 94425 are 3, 5, 1259. Prime factorization of 94425 in exponential form is:

94425 = 3¹ × 5² × 1259¹

Step-2: Prime Factorization of 94430

Prime factors of 94430 are 2, 5, 7, 19, 71. Prime factorization of 94430 in exponential form is:

94430 = 2¹ × 5¹ × 7¹ × 19¹ × 71¹

Step-3: Factors of 94425

List of positive integer factors of 94425 that divides 94425 without a remainder.

1, 3, 5, 15, 25, 75, 1259, 3777, 6295, 18885, 31475

Step-4: Factors of 94430

List of positive integer factors of 94430 that divides 94425 without a remainder.

1, 2, 5, 7, 10, 14, 19, 35, 38, 70, 71, 95, 133, 142, 190, 266, 355, 497, 665, 710, 994, 1330, 1349, 2485, 2698, 4970, 6745, 9443, 13490, 18886, 47215

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94425 and 94430. The biggest common factor number is the GCF number.
So the greatest common factor 94425 and 94430 is 5.

Also check out the Least Common Multiple of 94425 and 94430