What is the Greatest Common Factor of 87714 and 87725?

Greatest common factor (GCF) of 87714 and 87725 is 11.

GCF(87714,87725) = 11

We will now calculate the prime factors of 87714 and 87725, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87714 and 87725.

How to find the GCF of 87714 and 87725?

We will first find the prime factorization of 87714 and 87725. After we will calculate the factors of 87714 and 87725 and find the biggest common factor number .

Step-1: Prime Factorization of 87714

Prime factors of 87714 are 2, 3, 11, 443. Prime factorization of 87714 in exponential form is:

87714 = 2¹ × 3² × 11¹ × 443¹

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 87714

List of positive integer factors of 87714 that divides 87714 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198, 443, 886, 1329, 2658, 3987, 4873, 7974, 9746, 14619, 29238, 43857

Step-4: Factors of 87725

List of positive integer factors of 87725 that divides 87714 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 87714 and 87725. The biggest common factor number is the GCF number.
So the greatest common factor 87714 and 87725 is 11.

Also check out the Least Common Multiple of 87714 and 87725