What is the Greatest Common Factor of 88386 and 88404?

Greatest common factor (GCF) of 88386 and 88404 is 6.

GCF(88386,88404) = 6

We will now calculate the prime factors of 88386 and 88404, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88386 and 88404.

How to find the GCF of 88386 and 88404?

We will first find the prime factorization of 88386 and 88404. After we will calculate the factors of 88386 and 88404 and find the biggest common factor number .

Step-1: Prime Factorization of 88386

Prime factors of 88386 are 2, 3, 14731. Prime factorization of 88386 in exponential form is:

88386 = 2¹ × 3¹ × 14731¹

Step-2: Prime Factorization of 88404

Prime factors of 88404 are 2, 3, 53, 139. Prime factorization of 88404 in exponential form is:

88404 = 2² × 3¹ × 53¹ × 139¹

Step-3: Factors of 88386

List of positive integer factors of 88386 that divides 88386 without a remainder.

1, 2, 3, 6, 14731, 29462, 44193

Step-4: Factors of 88404

List of positive integer factors of 88404 that divides 88386 without a remainder.

1, 2, 3, 4, 6, 12, 53, 106, 139, 159, 212, 278, 318, 417, 556, 636, 834, 1668, 7367, 14734, 22101, 29468, 44202

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88386 and 88404. The biggest common factor number is the GCF number.
So the greatest common factor 88386 and 88404 is 6.

Also check out the Least Common Multiple of 88386 and 88404