What is the Greatest Common Factor of 87549 and 87563?

Greatest common factor (GCF) of 87549 and 87563 is 7.

GCF(87549,87563) = 7

We will now calculate the prime factors of 87549 and 87563, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87549 and 87563.

How to find the GCF of 87549 and 87563?

We will first find the prime factorization of 87549 and 87563. After we will calculate the factors of 87549 and 87563 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 87563

Prime factors of 87563 are 7, 1787. Prime factorization of 87563 in exponential form is:

87563 = 7² × 1787¹

Step-3: Factors of 87549

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

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

Step-4: Factors of 87563

List of positive integer factors of 87563 that divides 87549 without a remainder.

1, 7, 49, 1787, 12509

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87549 and 87563. The biggest common factor number is the GCF number.
So the greatest common factor 87549 and 87563 is 7.

Also check out the Least Common Multiple of 87549 and 87563