What is the Greatest Common Factor of 88478 and 88491?

Greatest common factor (GCF) of 88478 and 88491 is 13.

GCF(88478,88491) = 13

We will now calculate the prime factors of 88478 and 88491, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88478 and 88491.

How to find the GCF of 88478 and 88491?

We will first find the prime factorization of 88478 and 88491. After we will calculate the factors of 88478 and 88491 and find the biggest common factor number .

Step-1: Prime Factorization of 88478

Prime factors of 88478 are 2, 13, 41, 83. Prime factorization of 88478 in exponential form is:

88478 = 2¹ × 13¹ × 41¹ × 83¹

Step-2: Prime Factorization of 88491

Prime factors of 88491 are 3, 13, 2269. Prime factorization of 88491 in exponential form is:

88491 = 3¹ × 13¹ × 2269¹

Step-3: Factors of 88478

List of positive integer factors of 88478 that divides 88478 without a remainder.

1, 2, 13, 26, 41, 82, 83, 166, 533, 1066, 1079, 2158, 3403, 6806, 44239

Step-4: Factors of 88491

List of positive integer factors of 88491 that divides 88478 without a remainder.

1, 3, 13, 39, 2269, 6807, 29497

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88478 and 88491. The biggest common factor number is the GCF number.
So the greatest common factor 88478 and 88491 is 13.

Also check out the Least Common Multiple of 88478 and 88491