What is the Greatest Common Factor of 88724 and 88728?

Greatest common factor (GCF) of 88724 and 88728 is 4.

GCF(88724,88728) = 4

We will now calculate the prime factors of 88724 and 88728, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88724 and 88728.

How to find the GCF of 88724 and 88728?

We will first find the prime factorization of 88724 and 88728. After we will calculate the factors of 88724 and 88728 and find the biggest common factor number .

Step-1: Prime Factorization of 88724

Prime factors of 88724 are 2, 41, 541. Prime factorization of 88724 in exponential form is:

88724 = 2² × 41¹ × 541¹

Step-2: 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-3: Factors of 88724

List of positive integer factors of 88724 that divides 88724 without a remainder.

1, 2, 4, 41, 82, 164, 541, 1082, 2164, 22181, 44362

Step-4: Factors of 88728

List of positive integer factors of 88728 that divides 88724 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88724 and 88728. The biggest common factor number is the GCF number.
So the greatest common factor 88724 and 88728 is 4.

Also check out the Least Common Multiple of 88724 and 88728