What is the Greatest Common Factor of 94419 and 94425?

Greatest common factor (GCF) of 94419 and 94425 is 3.

GCF(94419,94425) = 3

We will now calculate the prime factors of 94419 and 94425, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94419 and 94425.

How to find the GCF of 94419 and 94425?

We will first find the prime factorization of 94419 and 94425. After we will calculate the factors of 94419 and 94425 and find the biggest common factor number .

Step-1: Prime Factorization of 94419

Prime factors of 94419 are 3, 13, 269. Prime factorization of 94419 in exponential form is:

94419 = 3³ × 13¹ × 269¹

Step-2: 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-3: Factors of 94419

List of positive integer factors of 94419 that divides 94419 without a remainder.

1, 3, 9, 13, 27, 39, 117, 269, 351, 807, 2421, 3497, 7263, 10491, 31473

Step-4: Factors of 94425

List of positive integer factors of 94425 that divides 94419 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94419 and 94425. The biggest common factor number is the GCF number.
So the greatest common factor 94419 and 94425 is 3.

Also check out the Least Common Multiple of 94419 and 94425