What is the Greatest Common Factor of 88815 and 88830?

Greatest common factor (GCF) of 88815 and 88830 is 15.

GCF(88815,88830) = 15

We will now calculate the prime factors of 88815 and 88830, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88815 and 88830.

How to find the GCF of 88815 and 88830?

We will first find the prime factorization of 88815 and 88830. After we will calculate the factors of 88815 and 88830 and find the biggest common factor number .

Step-1: Prime Factorization of 88815

Prime factors of 88815 are 3, 5, 31, 191. Prime factorization of 88815 in exponential form is:

88815 = 3¹ × 5¹ × 31¹ × 191¹

Step-2: 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-3: Factors of 88815

List of positive integer factors of 88815 that divides 88815 without a remainder.

1, 3, 5, 15, 31, 93, 155, 191, 465, 573, 955, 2865, 5921, 17763, 29605

Step-4: Factors of 88830

List of positive integer factors of 88830 that divides 88815 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88815 and 88830. The biggest common factor number is the GCF number.
So the greatest common factor 88815 and 88830 is 15.

Also check out the Least Common Multiple of 88815 and 88830