What is the Greatest Common Factor of 87725 and 87744?

Greatest common factor (GCF) of 87725 and 87744 is 1.

GCF(87725,87744) = 1

We will now calculate the prime factors of 87725 and 87744, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87725 and 87744.

How to find the GCF of 87725 and 87744?

We will first find the prime factorization of 87725 and 87744. After we will calculate the factors of 87725 and 87744 and find the biggest common factor number .

Step-1: Prime Factorization of 87725

Prime factors of 87725 are 5, 11, 29. Prime factorization of 87725 in exponential form is:

87725 = 5² × 11² × 29¹

Step-2: 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-3: Factors of 87725

List of positive integer factors of 87725 that divides 87725 without a remainder.

1, 5, 11, 25, 29, 55, 121, 145, 275, 319, 605, 725, 1595, 3025, 3509, 7975, 17545

Step-4: Factors of 87744

List of positive integer factors of 87744 that divides 87725 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87725 and 87744. The biggest common factor number is the GCF number.
So the greatest common factor 87725 and 87744 is 1.

Also check out the Least Common Multiple of 87725 and 87744