What is the Greatest Common Factor of 88851 and 88858?

Greatest common factor (GCF) of 88851 and 88858 is 7.

GCF(88851,88858) = 7

We will now calculate the prime factors of 88851 and 88858, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88851 and 88858.

How to find the GCF of 88851 and 88858?

We will first find the prime factorization of 88851 and 88858. After we will calculate the factors of 88851 and 88858 and find the biggest common factor number .

Step-1: Prime Factorization of 88851

Prime factors of 88851 are 3, 7, 4231. Prime factorization of 88851 in exponential form is:

88851 = 3¹ × 7¹ × 4231¹

Step-2: 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-3: Factors of 88851

List of positive integer factors of 88851 that divides 88851 without a remainder.

1, 3, 7, 21, 4231, 12693, 29617

Step-4: Factors of 88858

List of positive integer factors of 88858 that divides 88851 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88851 and 88858. The biggest common factor number is the GCF number.
So the greatest common factor 88851 and 88858 is 7.

Also check out the Least Common Multiple of 88851 and 88858