What is the Greatest Common Factor of 88324 and 88328?

Greatest common factor (GCF) of 88324 and 88328 is 4.

GCF(88324,88328) = 4

We will now calculate the prime factors of 88324 and 88328, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88324 and 88328.

How to find the GCF of 88324 and 88328?

We will first find the prime factorization of 88324 and 88328. After we will calculate the factors of 88324 and 88328 and find the biggest common factor number .

Step-1: Prime Factorization of 88324

Prime factors of 88324 are 2, 71, 311. Prime factorization of 88324 in exponential form is:

88324 = 2² × 71¹ × 311¹

Step-2: Prime Factorization of 88328

Prime factors of 88328 are 2, 61, 181. Prime factorization of 88328 in exponential form is:

88328 = 2³ × 61¹ × 181¹

Step-3: Factors of 88324

List of positive integer factors of 88324 that divides 88324 without a remainder.

1, 2, 4, 71, 142, 284, 311, 622, 1244, 22081, 44162

Step-4: Factors of 88328

List of positive integer factors of 88328 that divides 88324 without a remainder.

1, 2, 4, 8, 61, 122, 181, 244, 362, 488, 724, 1448, 11041, 22082, 44164

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88324 and 88328. The biggest common factor number is the GCF number.
So the greatest common factor 88324 and 88328 is 4.

Also check out the Least Common Multiple of 88324 and 88328