What is the Greatest Common Factor of 88838 and 88856?

Greatest common factor (GCF) of 88838 and 88856 is 2.

GCF(88838,88856) = 2

We will now calculate the prime factors of 88838 and 88856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88838 and 88856.

How to find the GCF of 88838 and 88856?

We will first find the prime factorization of 88838 and 88856. After we will calculate the factors of 88838 and 88856 and find the biggest common factor number .

Step-1: Prime Factorization of 88838

Prime factors of 88838 are 2, 43, 1033. Prime factorization of 88838 in exponential form is:

88838 = 2¹ × 43¹ × 1033¹

Step-2: Prime Factorization of 88856

Prime factors of 88856 are 2, 29, 383. Prime factorization of 88856 in exponential form is:

88856 = 2³ × 29¹ × 383¹

Step-3: Factors of 88838

List of positive integer factors of 88838 that divides 88838 without a remainder.

1, 2, 43, 86, 1033, 2066, 44419

Step-4: Factors of 88856

List of positive integer factors of 88856 that divides 88838 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232, 383, 766, 1532, 3064, 11107, 22214, 44428

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88838 and 88856. The biggest common factor number is the GCF number.
So the greatest common factor 88838 and 88856 is 2.

Also check out the Least Common Multiple of 88838 and 88856