What is the Greatest Common Factor of 88728 and 88732?

Greatest common factor (GCF) of 88728 and 88732 is 4.

GCF(88728,88732) = 4

We will now calculate the prime factors of 88728 and 88732, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88728 and 88732.

How to find the GCF of 88728 and 88732?

We will first find the prime factorization of 88728 and 88732. After we will calculate the factors of 88728 and 88732 and find the biggest common factor number .

Step-1: Prime Factorization of 88728

Prime factors of 88728 are 2, 3, 3697. Prime factorization of 88728 in exponential form is:

88728 = 2³ × 3¹ × 3697¹

Step-2: Prime Factorization of 88732

Prime factors of 88732 are 2, 7, 3169. Prime factorization of 88732 in exponential form is:

88732 = 2² × 7¹ × 3169¹

Step-3: Factors of 88728

List of positive integer factors of 88728 that divides 88728 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3697, 7394, 11091, 14788, 22182, 29576, 44364

Step-4: Factors of 88732

List of positive integer factors of 88732 that divides 88728 without a remainder.

1, 2, 4, 7, 14, 28, 3169, 6338, 12676, 22183, 44366

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88728 and 88732. The biggest common factor number is the GCF number.
So the greatest common factor 88728 and 88732 is 4.

Also check out the Least Common Multiple of 88728 and 88732