What is the Greatest Common Factor of 87744 and 87759?

Greatest common factor (GCF) of 87744 and 87759 is 3.

GCF(87744,87759) = 3

We will now calculate the prime factors of 87744 and 87759, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87744 and 87759.

How to find the GCF of 87744 and 87759?

We will first find the prime factorization of 87744 and 87759. After we will calculate the factors of 87744 and 87759 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 87759

Prime factors of 87759 are 3, 7, 199. Prime factorization of 87759 in exponential form is:

87759 = 3² × 7² × 199¹

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 87759

List of positive integer factors of 87759 that divides 87744 without a remainder.

1, 3, 7, 9, 21, 49, 63, 147, 199, 441, 597, 1393, 1791, 4179, 9751, 12537, 29253

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87744 and 87759. The biggest common factor number is the GCF number.
So the greatest common factor 87744 and 87759 is 3.

Also check out the Least Common Multiple of 87744 and 87759