What is the Greatest Common Factor of 87705 and 87725?

Greatest common factor (GCF) of 87705 and 87725 is 5.

GCF(87705,87725) = 5

We will now calculate the prime factors of 87705 and 87725, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87705 and 87725.

How to find the GCF of 87705 and 87725?

We will first find the prime factorization of 87705 and 87725. After we will calculate the factors of 87705 and 87725 and find the biggest common factor number .

Step-1: Prime Factorization of 87705

Prime factors of 87705 are 3, 5, 1949. Prime factorization of 87705 in exponential form is:

87705 = 3² × 5¹ × 1949¹

Step-2: 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-3: Factors of 87705

List of positive integer factors of 87705 that divides 87705 without a remainder.

1, 3, 5, 9, 15, 45, 1949, 5847, 9745, 17541, 29235

Step-4: Factors of 87725

List of positive integer factors of 87725 that divides 87705 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87705 and 87725. The biggest common factor number is the GCF number.
So the greatest common factor 87705 and 87725 is 5.

Also check out the Least Common Multiple of 87705 and 87725