What is the Greatest Common Factor of 88830 and 88839?

Greatest common factor (GCF) of 88830 and 88839 is 9.

GCF(88830,88839) = 9

We will now calculate the prime factors of 88830 and 88839, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88830 and 88839.

How to find the GCF of 88830 and 88839?

We will first find the prime factorization of 88830 and 88839. After we will calculate the factors of 88830 and 88839 and find the biggest common factor number .

Step-1: Prime Factorization of 88830

Prime factors of 88830 are 2, 3, 5, 7, 47. Prime factorization of 88830 in exponential form is:

88830 = 2¹ × 3³ × 5¹ × 7¹ × 47¹

Step-2: Prime Factorization of 88839

Prime factors of 88839 are 3, 9871. Prime factorization of 88839 in exponential form is:

88839 = 3² × 9871¹

Step-3: Factors of 88830

List of positive integer factors of 88830 that divides 88830 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 27, 30, 35, 42, 45, 47, 54, 63, 70, 90, 94, 105, 126, 135, 141, 189, 210, 235, 270, 282, 315, 329, 378, 423, 470, 630, 658, 705, 846, 945, 987, 1269, 1410, 1645, 1890, 1974, 2115, 2538, 2961, 3290, 4230, 4935, 5922, 6345, 8883, 9870, 12690, 14805, 17766, 29610, 44415

Step-4: Factors of 88839

List of positive integer factors of 88839 that divides 88830 without a remainder.

1, 3, 9, 9871, 29613

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88830 and 88839. The biggest common factor number is the GCF number.
So the greatest common factor 88830 and 88839 is 9.

Also check out the Least Common Multiple of 88830 and 88839