What is the Greatest Common Factor of 87728 and 87744?

Greatest common factor (GCF) of 87728 and 87744 is 16.

GCF(87728,87744) = 16

We will now calculate the prime factors of 87728 and 87744, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87728 and 87744.

How to find the GCF of 87728 and 87744?

We will first find the prime factorization of 87728 and 87744. After we will calculate the factors of 87728 and 87744 and find the biggest common factor number .

Step-1: Prime Factorization of 87728

Prime factors of 87728 are 2, 5483. Prime factorization of 87728 in exponential form is:

87728 = 2⁴ × 5483¹

Step-2: Prime Factorization of 87744

Prime factors of 87744 are 2, 3, 457. Prime factorization of 87744 in exponential form is:

87744 = 2⁶ × 3¹ × 457¹

Step-3: Factors of 87728

List of positive integer factors of 87728 that divides 87728 without a remainder.

1, 2, 4, 8, 16, 5483, 10966, 21932, 43864

Step-4: Factors of 87744

List of positive integer factors of 87744 that divides 87728 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 457, 914, 1371, 1828, 2742, 3656, 5484, 7312, 10968, 14624, 21936, 29248, 43872

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87728 and 87744. The biggest common factor number is the GCF number.
So the greatest common factor 87728 and 87744 is 16.

Also check out the Least Common Multiple of 87728 and 87744