What is the Greatest Common Factor of 94419 and 94431?

Greatest common factor (GCF) of 94419 and 94431 is 3.

GCF(94419,94431) = 3

We will now calculate the prime factors of 94419 and 94431, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94419 and 94431.

How to find the GCF of 94419 and 94431?

We will first find the prime factorization of 94419 and 94431. After we will calculate the factors of 94419 and 94431 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 94431

Prime factors of 94431 are 3, 31477. Prime factorization of 94431 in exponential form is:

94431 = 3¹ × 31477¹

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 94431

List of positive integer factors of 94431 that divides 94419 without a remainder.

1, 3, 31477

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94419 and 94431. The biggest common factor number is the GCF number.
So the greatest common factor 94419 and 94431 is 3.

Also check out the Least Common Multiple of 94419 and 94431