What is the Greatest Common Factor of 88496 and 88508?

Greatest common factor (GCF) of 88496 and 88508 is 4.

GCF(88496,88508) = 4

We will now calculate the prime factors of 88496 and 88508, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88496 and 88508.

How to find the GCF of 88496 and 88508?

We will first find the prime factorization of 88496 and 88508. After we will calculate the factors of 88496 and 88508 and find the biggest common factor number .

Step-1: Prime Factorization of 88496

Prime factors of 88496 are 2, 5531. Prime factorization of 88496 in exponential form is:

88496 = 2⁴ × 5531¹

Step-2: Prime Factorization of 88508

Prime factors of 88508 are 2, 7, 29, 109. Prime factorization of 88508 in exponential form is:

88508 = 2² × 7¹ × 29¹ × 109¹

Step-3: Factors of 88496

List of positive integer factors of 88496 that divides 88496 without a remainder.

1, 2, 4, 8, 16, 5531, 11062, 22124, 44248

Step-4: Factors of 88508

List of positive integer factors of 88508 that divides 88496 without a remainder.

1, 2, 4, 7, 14, 28, 29, 58, 109, 116, 203, 218, 406, 436, 763, 812, 1526, 3052, 3161, 6322, 12644, 22127, 44254

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88496 and 88508. The biggest common factor number is the GCF number.
So the greatest common factor 88496 and 88508 is 4.

Also check out the Least Common Multiple of 88496 and 88508