What is the Greatest Common Factor of 87725 and 87730?

Greatest common factor (GCF) of 87725 and 87730 is 5.

GCF(87725,87730) = 5

We will now calculate the prime factors of 87725 and 87730, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87725 and 87730.

How to find the GCF of 87725 and 87730?

We will first find the prime factorization of 87725 and 87730. After we will calculate the factors of 87725 and 87730 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 87730

Prime factors of 87730 are 2, 5, 31, 283. Prime factorization of 87730 in exponential form is:

87730 = 2¹ × 5¹ × 31¹ × 283¹

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 87730

List of positive integer factors of 87730 that divides 87725 without a remainder.

1, 2, 5, 10, 31, 62, 155, 283, 310, 566, 1415, 2830, 8773, 17546, 43865

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87725 and 87730. The biggest common factor number is the GCF number.
So the greatest common factor 87725 and 87730 is 5.

Also check out the Least Common Multiple of 87725 and 87730