What is the Greatest Common Factor of 87744 and 87752?

Greatest common factor (GCF) of 87744 and 87752 is 8.

GCF(87744,87752) = 8

We will now calculate the prime factors of 87744 and 87752, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87744 and 87752.

How to find the GCF of 87744 and 87752?

We will first find the prime factorization of 87744 and 87752. After we will calculate the factors of 87744 and 87752 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 87752

Prime factors of 87752 are 2, 7, 1567. Prime factorization of 87752 in exponential form is:

87752 = 2³ × 7¹ × 1567¹

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 87752

List of positive integer factors of 87752 that divides 87744 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1567, 3134, 6268, 10969, 12536, 21938, 43876

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87744 and 87752. The biggest common factor number is the GCF number.
So the greatest common factor 87744 and 87752 is 8.

Also check out the Least Common Multiple of 87744 and 87752