What is the Greatest Common Factor of 87725 and 87745?

Greatest common factor (GCF) of 87725 and 87745 is 5.

GCF(87725,87745) = 5

We will now calculate the prime factors of 87725 and 87745, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87725 and 87745.

How to find the GCF of 87725 and 87745?

We will first find the prime factorization of 87725 and 87745. After we will calculate the factors of 87725 and 87745 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 87745

Prime factors of 87745 are 5, 7, 23, 109. Prime factorization of 87745 in exponential form is:

87745 = 5¹ × 7¹ × 23¹ × 109¹

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 87745

List of positive integer factors of 87745 that divides 87725 without a remainder.

1, 5, 7, 23, 35, 109, 115, 161, 545, 763, 805, 2507, 3815, 12535, 17549

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87725 and 87745. The biggest common factor number is the GCF number.
So the greatest common factor 87725 and 87745 is 5.

Also check out the Least Common Multiple of 87725 and 87745