What is the Greatest Common Factor of 87744 and 87750?

Greatest common factor (GCF) of 87744 and 87750 is 6.

GCF(87744,87750) = 6

We will now calculate the prime factors of 87744 and 87750, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87744 and 87750.

How to find the GCF of 87744 and 87750?

We will first find the prime factorization of 87744 and 87750. After we will calculate the factors of 87744 and 87750 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 87750

Prime factors of 87750 are 2, 3, 5, 13. Prime factorization of 87750 in exponential form is:

87750 = 2¹ × 3³ × 5³ × 13¹

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 87750

List of positive integer factors of 87750 that divides 87744 without a remainder.

1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 25, 26, 27, 30, 39, 45, 50, 54, 65, 75, 78, 90, 117, 125, 130, 135, 150, 195, 225, 234, 250, 270, 325, 351, 375, 390, 450, 585, 650, 675, 702, 750, 975, 1125, 1170, 1350, 1625, 1755, 1950, 2250, 2925, 3250, 3375, 3510, 4875, 5850, 6750, 8775, 9750, 14625, 17550, 29250, 43875

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87744 and 87750. The biggest common factor number is the GCF number.
So the greatest common factor 87744 and 87750 is 6.

Also check out the Least Common Multiple of 87744 and 87750