What is the Greatest Common Factor of 88545 and 88563?

Greatest common factor (GCF) of 88545 and 88563 is 3.

GCF(88545,88563) = 3

We will now calculate the prime factors of 88545 and 88563, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88545 and 88563.

How to find the GCF of 88545 and 88563?

We will first find the prime factorization of 88545 and 88563. After we will calculate the factors of 88545 and 88563 and find the biggest common factor number .

Step-1: Prime Factorization of 88545

Prime factors of 88545 are 3, 5, 5903. Prime factorization of 88545 in exponential form is:

88545 = 3¹ × 5¹ × 5903¹

Step-2: Prime Factorization of 88563

Prime factors of 88563 are 3, 53, 557. Prime factorization of 88563 in exponential form is:

88563 = 3¹ × 53¹ × 557¹

Step-3: Factors of 88545

List of positive integer factors of 88545 that divides 88545 without a remainder.

1, 3, 5, 15, 5903, 17709, 29515

Step-4: Factors of 88563

List of positive integer factors of 88563 that divides 88545 without a remainder.

1, 3, 53, 159, 557, 1671, 29521

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88545 and 88563. The biggest common factor number is the GCF number.
So the greatest common factor 88545 and 88563 is 3.

Also check out the Least Common Multiple of 88545 and 88563