What is the Greatest Common Factor of 87538 and 87549?

Greatest common factor (GCF) of 87538 and 87549 is 11.

GCF(87538,87549) = 11

We will now calculate the prime factors of 87538 and 87549, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87538 and 87549.

How to find the GCF of 87538 and 87549?

We will first find the prime factorization of 87538 and 87549. After we will calculate the factors of 87538 and 87549 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 87549

Prime factors of 87549 are 3, 7, 11, 379. Prime factorization of 87549 in exponential form is:

87549 = 3¹ × 7¹ × 11¹ × 379¹

Step-3: Factors of 87538

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

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

Step-4: Factors of 87549

List of positive integer factors of 87549 that divides 87538 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231, 379, 1137, 2653, 4169, 7959, 12507, 29183

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87538 and 87549. The biggest common factor number is the GCF number.
So the greatest common factor 87538 and 87549 is 11.

Also check out the Least Common Multiple of 87538 and 87549