What is the Greatest Common Factor of 88728 and 88734?

Greatest common factor (GCF) of 88728 and 88734 is 6.

GCF(88728,88734) = 6

We will now calculate the prime factors of 88728 and 88734, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88728 and 88734.

How to find the GCF of 88728 and 88734?

We will first find the prime factorization of 88728 and 88734. After we will calculate the factors of 88728 and 88734 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 88734

Prime factors of 88734 are 2, 3, 23, 643. Prime factorization of 88734 in exponential form is:

88734 = 2¹ × 3¹ × 23¹ × 643¹

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 88734

List of positive integer factors of 88734 that divides 88728 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 643, 1286, 1929, 3858, 14789, 29578, 44367

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88728 and 88734. The biggest common factor number is the GCF number.
So the greatest common factor 88728 and 88734 is 6.

Also check out the Least Common Multiple of 88728 and 88734