What is the Greatest Common Factor of 88372 and 88384?

Greatest common factor (GCF) of 88372 and 88384 is 4.

GCF(88372,88384) = 4

We will now calculate the prime factors of 88372 and 88384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88372 and 88384.

How to find the GCF of 88372 and 88384?

We will first find the prime factorization of 88372 and 88384. After we will calculate the factors of 88372 and 88384 and find the biggest common factor number .

Step-1: Prime Factorization of 88372

Prime factors of 88372 are 2, 22093. Prime factorization of 88372 in exponential form is:

88372 = 2² × 22093¹

Step-2: Prime Factorization of 88384

Prime factors of 88384 are 2, 1381. Prime factorization of 88384 in exponential form is:

88384 = 2⁶ × 1381¹

Step-3: Factors of 88372

List of positive integer factors of 88372 that divides 88372 without a remainder.

1, 2, 4, 22093, 44186

Step-4: Factors of 88384

List of positive integer factors of 88384 that divides 88372 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1381, 2762, 5524, 11048, 22096, 44192

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88372 and 88384. The biggest common factor number is the GCF number.
So the greatest common factor 88372 and 88384 is 4.

Also check out the Least Common Multiple of 88372 and 88384