What is the Greatest Common Factor of 88858 and 88868?

Greatest common factor (GCF) of 88858 and 88868 is 2.

GCF(88858,88868) = 2

We will now calculate the prime factors of 88858 and 88868, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88858 and 88868.

How to find the GCF of 88858 and 88868?

We will first find the prime factorization of 88858 and 88868. After we will calculate the factors of 88858 and 88868 and find the biggest common factor number .

Step-1: Prime Factorization of 88858

Prime factors of 88858 are 2, 7, 11, 577. Prime factorization of 88858 in exponential form is:

88858 = 2¹ × 7¹ × 11¹ × 577¹

Step-2: Prime Factorization of 88868

Prime factors of 88868 are 2, 13, 1709. Prime factorization of 88868 in exponential form is:

88868 = 2² × 13¹ × 1709¹

Step-3: Factors of 88858

List of positive integer factors of 88858 that divides 88858 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 577, 1154, 4039, 6347, 8078, 12694, 44429

Step-4: Factors of 88868

List of positive integer factors of 88868 that divides 88858 without a remainder.

1, 2, 4, 13, 26, 52, 1709, 3418, 6836, 22217, 44434

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88858 and 88868. The biggest common factor number is the GCF number.
So the greatest common factor 88858 and 88868 is 2.

Also check out the Least Common Multiple of 88858 and 88868