What is the Greatest Common Factor of 88496 and 88505?

Greatest common factor (GCF) of 88496 and 88505 is 1.

GCF(88496,88505) = 1

We will now calculate the prime factors of 88496 and 88505, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88496 and 88505.

How to find the GCF of 88496 and 88505?

We will first find the prime factorization of 88496 and 88505. After we will calculate the factors of 88496 and 88505 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 88505

Prime factors of 88505 are 5, 31, 571. Prime factorization of 88505 in exponential form is:

88505 = 5¹ × 31¹ × 571¹

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 88505

List of positive integer factors of 88505 that divides 88496 without a remainder.

1, 5, 31, 155, 571, 2855, 17701

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88496 and 88505. The biggest common factor number is the GCF number.
So the greatest common factor 88496 and 88505 is 1.

Also check out the Least Common Multiple of 88496 and 88505