What is the Greatest Common Factor of 87744 and 87753?

Greatest common factor (GCF) of 87744 and 87753 is 3.

GCF(87744,87753) = 3

We will now calculate the prime factors of 87744 and 87753, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87744 and 87753.

How to find the GCF of 87744 and 87753?

We will first find the prime factorization of 87744 and 87753. After we will calculate the factors of 87744 and 87753 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 87753

Prime factors of 87753 are 3, 29251. Prime factorization of 87753 in exponential form is:

87753 = 3¹ × 29251¹

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 87753

List of positive integer factors of 87753 that divides 87744 without a remainder.

1, 3, 29251

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87744 and 87753. The biggest common factor number is the GCF number.
So the greatest common factor 87744 and 87753 is 3.

Also check out the Least Common Multiple of 87744 and 87753