What is the Greatest Common Factor of 87456 and 87471?

Greatest common factor (GCF) of 87456 and 87471 is 3.

GCF(87456,87471) = 3

We will now calculate the prime factors of 87456 and 87471, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87456 and 87471.

How to find the GCF of 87456 and 87471?

We will first find the prime factorization of 87456 and 87471. After we will calculate the factors of 87456 and 87471 and find the biggest common factor number .

Step-1: Prime Factorization of 87456

Prime factors of 87456 are 2, 3, 911. Prime factorization of 87456 in exponential form is:

87456 = 2⁵ × 3¹ × 911¹

Step-2: Prime Factorization of 87471

Prime factors of 87471 are 3, 9719. Prime factorization of 87471 in exponential form is:

87471 = 3² × 9719¹

Step-3: Factors of 87456

List of positive integer factors of 87456 that divides 87456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 911, 1822, 2733, 3644, 5466, 7288, 10932, 14576, 21864, 29152, 43728

Step-4: Factors of 87471

List of positive integer factors of 87471 that divides 87456 without a remainder.

1, 3, 9, 9719, 29157

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87456 and 87471. The biggest common factor number is the GCF number.
So the greatest common factor 87456 and 87471 is 3.

Also check out the Least Common Multiple of 87456 and 87471