What is the Greatest Common Factor of 88479 and 88496?

Greatest common factor (GCF) of 88479 and 88496 is 1.

GCF(88479,88496) = 1

We will now calculate the prime factors of 88479 and 88496, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88479 and 88496.

How to find the GCF of 88479 and 88496?

We will first find the prime factorization of 88479 and 88496. After we will calculate the factors of 88479 and 88496 and find the biggest common factor number .

Step-1: Prime Factorization of 88479

Prime factors of 88479 are 3, 29, 113. Prime factorization of 88479 in exponential form is:

88479 = 3³ × 29¹ × 113¹

Step-2: Prime Factorization of 88496

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

88496 = 2⁴ × 5531¹

Step-3: Factors of 88479

List of positive integer factors of 88479 that divides 88479 without a remainder.

1, 3, 9, 27, 29, 87, 113, 261, 339, 783, 1017, 3051, 3277, 9831, 29493

Step-4: Factors of 88496

List of positive integer factors of 88496 that divides 88479 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88479 and 88496. The biggest common factor number is the GCF number.
So the greatest common factor 88479 and 88496 is 1.

Also check out the Least Common Multiple of 88479 and 88496