What is the Greatest Common Factor of 88431 and 88446?

Greatest common factor (GCF) of 88431 and 88446 is 3.

GCF(88431,88446) = 3

We will now calculate the prime factors of 88431 and 88446, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88431 and 88446.

How to find the GCF of 88431 and 88446?

We will first find the prime factorization of 88431 and 88446. After we will calculate the factors of 88431 and 88446 and find the biggest common factor number .

Step-1: Prime Factorization of 88431

Prime factors of 88431 are 3, 7, 4211. Prime factorization of 88431 in exponential form is:

88431 = 3¹ × 7¹ × 4211¹

Step-2: Prime Factorization of 88446

Prime factors of 88446 are 2, 3, 14741. Prime factorization of 88446 in exponential form is:

88446 = 2¹ × 3¹ × 14741¹

Step-3: Factors of 88431

List of positive integer factors of 88431 that divides 88431 without a remainder.

1, 3, 7, 21, 4211, 12633, 29477

Step-4: Factors of 88446

List of positive integer factors of 88446 that divides 88431 without a remainder.

1, 2, 3, 6, 14741, 29482, 44223

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88431 and 88446. The biggest common factor number is the GCF number.
So the greatest common factor 88431 and 88446 is 3.

Also check out the Least Common Multiple of 88431 and 88446