What is the Greatest Common Factor of 88528 and 88535?

Greatest common factor (GCF) of 88528 and 88535 is 1.

GCF(88528,88535) = 1

We will now calculate the prime factors of 88528 and 88535, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88528 and 88535.

How to find the GCF of 88528 and 88535?

We will first find the prime factorization of 88528 and 88535. After we will calculate the factors of 88528 and 88535 and find the biggest common factor number .

Step-1: Prime Factorization of 88528

Prime factors of 88528 are 2, 11, 503. Prime factorization of 88528 in exponential form is:

88528 = 2⁴ × 11¹ × 503¹

Step-2: Prime Factorization of 88535

Prime factors of 88535 are 5, 17707. Prime factorization of 88535 in exponential form is:

88535 = 5¹ × 17707¹

Step-3: Factors of 88528

List of positive integer factors of 88528 that divides 88528 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 503, 1006, 2012, 4024, 5533, 8048, 11066, 22132, 44264

Step-4: Factors of 88535

List of positive integer factors of 88535 that divides 88528 without a remainder.

1, 5, 17707

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88528 and 88535. The biggest common factor number is the GCF number.
So the greatest common factor 88528 and 88535 is 1.

Also check out the Least Common Multiple of 88528 and 88535