What is the Greatest Common Factor of 87116 and 87126?

Greatest common factor (GCF) of 87116 and 87126 is 2.

GCF(87116,87126) = 2

We will now calculate the prime factors of 87116 and 87126, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87116 and 87126.

How to find the GCF of 87116 and 87126?

We will first find the prime factorization of 87116 and 87126. After we will calculate the factors of 87116 and 87126 and find the biggest common factor number .

Step-1: Prime Factorization of 87116

Prime factors of 87116 are 2, 29, 751. Prime factorization of 87116 in exponential form is:

87116 = 2² × 29¹ × 751¹

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 87116

List of positive integer factors of 87116 that divides 87116 without a remainder.

1, 2, 4, 29, 58, 116, 751, 1502, 3004, 21779, 43558

Step-4: Factors of 87126

List of positive integer factors of 87126 that divides 87116 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 87116 and 87126. The biggest common factor number is the GCF number.
So the greatest common factor 87116 and 87126 is 2.

Also check out the Least Common Multiple of 87116 and 87126