What is the Greatest Common Factor of 88544 and 88549?

Greatest common factor (GCF) of 88544 and 88549 is 1.

GCF(88544,88549) = 1

We will now calculate the prime factors of 88544 and 88549, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88544 and 88549.

How to find the GCF of 88544 and 88549?

We will first find the prime factorization of 88544 and 88549. After we will calculate the factors of 88544 and 88549 and find the biggest common factor number .

Step-1: Prime Factorization of 88544

Prime factors of 88544 are 2, 2767. Prime factorization of 88544 in exponential form is:

88544 = 2⁵ × 2767¹

Step-2: Prime Factorization of 88549

Prime factors of 88549 are 73, 1213. Prime factorization of 88549 in exponential form is:

88549 = 73¹ × 1213¹

Step-3: Factors of 88544

List of positive integer factors of 88544 that divides 88544 without a remainder.

1, 2, 4, 8, 16, 32, 2767, 5534, 11068, 22136, 44272

Step-4: Factors of 88549

List of positive integer factors of 88549 that divides 88544 without a remainder.

1, 73, 1213

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88544 and 88549. The biggest common factor number is the GCF number.
So the greatest common factor 88544 and 88549 is 1.

Also check out the Least Common Multiple of 88544 and 88549