What is the Greatest Common Factor of 52431 and 52446?

Greatest common factor (GCF) of 52431 and 52446 is 3.

GCF(52431,52446) = 3

We will now calculate the prime factors of 52431 and 52446, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52431 and 52446.

How to find the GCF of 52431 and 52446?

We will first find the prime factorization of 52431 and 52446. After we will calculate the factors of 52431 and 52446 and find the biggest common factor number .

Step-1: Prime Factorization of 52431

Prime factors of 52431 are 3, 17477. Prime factorization of 52431 in exponential form is:

52431 = 3¹ × 17477¹

Step-2: Prime Factorization of 52446

Prime factors of 52446 are 2, 3, 8741. Prime factorization of 52446 in exponential form is:

52446 = 2¹ × 3¹ × 8741¹

Step-3: Factors of 52431

List of positive integer factors of 52431 that divides 52431 without a remainder.

1, 3, 17477

Step-4: Factors of 52446

List of positive integer factors of 52446 that divides 52431 without a remainder.

1, 2, 3, 6, 8741, 17482, 26223

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52431 and 52446. The biggest common factor number is the GCF number.
So the greatest common factor 52431 and 52446 is 3.

Also check out the Least Common Multiple of 52431 and 52446