What is the Greatest Common Factor of 87126 and 87139?

Greatest common factor (GCF) of 87126 and 87139 is 13.

GCF(87126,87139) = 13

We will now calculate the prime factors of 87126 and 87139, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87126 and 87139.

How to find the GCF of 87126 and 87139?

We will first find the prime factorization of 87126 and 87139. After we will calculate the factors of 87126 and 87139 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 87139

Prime factors of 87139 are 13, 6703. Prime factorization of 87139 in exponential form is:

87139 = 13¹ × 6703¹

Step-3: Factors of 87126

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

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

Step-4: Factors of 87139

List of positive integer factors of 87139 that divides 87126 without a remainder.

1, 13, 6703

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87126 and 87139. The biggest common factor number is the GCF number.
So the greatest common factor 87126 and 87139 is 13.

Also check out the Least Common Multiple of 87126 and 87139