What is the Greatest Common Factor of 87744 and 87760?

Greatest common factor (GCF) of 87744 and 87760 is 16.

GCF(87744,87760) = 16

We will now calculate the prime factors of 87744 and 87760, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87744 and 87760.

How to find the GCF of 87744 and 87760?

We will first find the prime factorization of 87744 and 87760. After we will calculate the factors of 87744 and 87760 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 87760

Prime factors of 87760 are 2, 5, 1097. Prime factorization of 87760 in exponential form is:

87760 = 2⁴ × 5¹ × 1097¹

Step-3: Factors of 87744

List of positive integer factors of 87744 that divides 87744 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

Step-4: Factors of 87760

List of positive integer factors of 87760 that divides 87744 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 1097, 2194, 4388, 5485, 8776, 10970, 17552, 21940, 43880

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87744 and 87760. The biggest common factor number is the GCF number.
So the greatest common factor 87744 and 87760 is 16.

Also check out the Least Common Multiple of 87744 and 87760