What is the Greatest Common Factor of 87432 and 87441?

Greatest common factor (GCF) of 87432 and 87441 is 3.

GCF(87432,87441) = 3

We will now calculate the prime factors of 87432 and 87441, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87432 and 87441.

How to find the GCF of 87432 and 87441?

We will first find the prime factorization of 87432 and 87441. After we will calculate the factors of 87432 and 87441 and find the biggest common factor number .

Step-1: Prime Factorization of 87432

Prime factors of 87432 are 2, 3, 3643. Prime factorization of 87432 in exponential form is:

87432 = 2³ × 3¹ × 3643¹

Step-2: Prime Factorization of 87441

Prime factors of 87441 are 3, 29147. Prime factorization of 87441 in exponential form is:

87441 = 3¹ × 29147¹

Step-3: Factors of 87432

List of positive integer factors of 87432 that divides 87432 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3643, 7286, 10929, 14572, 21858, 29144, 43716

Step-4: Factors of 87441

List of positive integer factors of 87441 that divides 87432 without a remainder.

1, 3, 29147

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87432 and 87441. The biggest common factor number is the GCF number.
So the greatest common factor 87432 and 87441 is 3.

Also check out the Least Common Multiple of 87432 and 87441