What is the Greatest Common Factor of 87432 and 87447?

Greatest common factor (GCF) of 87432 and 87447 is 3.

GCF(87432,87447) = 3

We will now calculate the prime factors of 87432 and 87447, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87432 and 87447.

How to find the GCF of 87432 and 87447?

We will first find the prime factorization of 87432 and 87447. After we will calculate the factors of 87432 and 87447 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 87447

Prime factors of 87447 are 3, 103, 283. Prime factorization of 87447 in exponential form is:

87447 = 3¹ × 103¹ × 283¹

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 87447

List of positive integer factors of 87447 that divides 87432 without a remainder.

1, 3, 103, 283, 309, 849, 29149

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87432 and 87447. The biggest common factor number is the GCF number.
So the greatest common factor 87432 and 87447 is 3.

Also check out the Least Common Multiple of 87432 and 87447