What is the Greatest Common Factor of 88538 and 88544?

Greatest common factor (GCF) of 88538 and 88544 is 2.

GCF(88538,88544) = 2

We will now calculate the prime factors of 88538 and 88544, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88538 and 88544.

How to find the GCF of 88538 and 88544?

We will first find the prime factorization of 88538 and 88544. After we will calculate the factors of 88538 and 88544 and find the biggest common factor number .

Step-1: Prime Factorization of 88538

Prime factors of 88538 are 2, 44269. Prime factorization of 88538 in exponential form is:

88538 = 2¹ × 44269¹

Step-2: Prime Factorization of 88544

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

88544 = 2⁵ × 2767¹

Step-3: Factors of 88538

List of positive integer factors of 88538 that divides 88538 without a remainder.

1, 2, 44269

Step-4: Factors of 88544

List of positive integer factors of 88544 that divides 88538 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88538 and 88544. The biggest common factor number is the GCF number.
So the greatest common factor 88538 and 88544 is 2.

Also check out the Least Common Multiple of 88538 and 88544