What is the Greatest Common Factor of 87711 and 87724?

Greatest common factor (GCF) of 87711 and 87724 is 13.

GCF(87711,87724) = 13

We will now calculate the prime factors of 87711 and 87724, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87711 and 87724.

How to find the GCF of 87711 and 87724?

We will first find the prime factorization of 87711 and 87724. After we will calculate the factors of 87711 and 87724 and find the biggest common factor number .

Step-1: Prime Factorization of 87711

Prime factors of 87711 are 3, 13, 173. Prime factorization of 87711 in exponential form is:

87711 = 3¹ × 13² × 173¹

Step-2: Prime Factorization of 87724

Prime factors of 87724 are 2, 7, 13, 241. Prime factorization of 87724 in exponential form is:

87724 = 2² × 7¹ × 13¹ × 241¹

Step-3: Factors of 87711

List of positive integer factors of 87711 that divides 87711 without a remainder.

1, 3, 13, 39, 169, 173, 507, 519, 2249, 6747, 29237

Step-4: Factors of 87724

List of positive integer factors of 87724 that divides 87711 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 241, 364, 482, 964, 1687, 3133, 3374, 6266, 6748, 12532, 21931, 43862

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87711 and 87724. The biggest common factor number is the GCF number.
So the greatest common factor 87711 and 87724 is 13.

Also check out the Least Common Multiple of 87711 and 87724