What is the Greatest Common Factor of 87113 and 87126?

Greatest common factor (GCF) of 87113 and 87126 is 13.

GCF(87113,87126) = 13

We will now calculate the prime factors of 87113 and 87126, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87113 and 87126.

How to find the GCF of 87113 and 87126?

We will first find the prime factorization of 87113 and 87126. After we will calculate the factors of 87113 and 87126 and find the biggest common factor number .

Step-1: Prime Factorization of 87113

Prime factors of 87113 are 13, 6701. Prime factorization of 87113 in exponential form is:

87113 = 13¹ × 6701¹

Step-2: Prime Factorization of 87126

Prime factors of 87126 are 2, 3, 13, 1117. Prime factorization of 87126 in exponential form is:

87126 = 2¹ × 3¹ × 13¹ × 1117¹

Step-3: Factors of 87113

List of positive integer factors of 87113 that divides 87113 without a remainder.

1, 13, 6701

Step-4: Factors of 87126

List of positive integer factors of 87126 that divides 87113 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 1117, 2234, 3351, 6702, 14521, 29042, 43563

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87113 and 87126. The biggest common factor number is the GCF number.
So the greatest common factor 87113 and 87126 is 13.

Also check out the Least Common Multiple of 87113 and 87126