What is the Greatest Common Factor of 87518 and 87538?

Greatest common factor (GCF) of 87518 and 87538 is 2.

GCF(87518,87538) = 2

We will now calculate the prime factors of 87518 and 87538, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87518 and 87538.

How to find the GCF of 87518 and 87538?

We will first find the prime factorization of 87518 and 87538. After we will calculate the factors of 87518 and 87538 and find the biggest common factor number .

Step-1: Prime Factorization of 87518

Prime factors of 87518 are 2, 43759. Prime factorization of 87518 in exponential form is:

87518 = 2¹ × 43759¹

Step-2: Prime Factorization of 87538

Prime factors of 87538 are 2, 11, 23, 173. Prime factorization of 87538 in exponential form is:

87538 = 2¹ × 11¹ × 23¹ × 173¹

Step-3: Factors of 87518

List of positive integer factors of 87518 that divides 87518 without a remainder.

1, 2, 43759

Step-4: Factors of 87538

List of positive integer factors of 87538 that divides 87518 without a remainder.

1, 2, 11, 22, 23, 46, 173, 253, 346, 506, 1903, 3806, 3979, 7958, 43769

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87518 and 87538. The biggest common factor number is the GCF number.
So the greatest common factor 87518 and 87538 is 2.

Also check out the Least Common Multiple of 87518 and 87538