What is the Greatest Common Factor of 88830 and 88845?

Greatest common factor (GCF) of 88830 and 88845 is 15.

GCF(88830,88845) = 15

We will now calculate the prime factors of 88830 and 88845, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88830 and 88845.

How to find the GCF of 88830 and 88845?

We will first find the prime factorization of 88830 and 88845. After we will calculate the factors of 88830 and 88845 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 88845

Prime factors of 88845 are 3, 5, 5923. Prime factorization of 88845 in exponential form is:

88845 = 3¹ × 5¹ × 5923¹

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 88845

List of positive integer factors of 88845 that divides 88830 without a remainder.

1, 3, 5, 15, 5923, 17769, 29615

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88830 and 88845. The biggest common factor number is the GCF number.
So the greatest common factor 88830 and 88845 is 15.

Also check out the Least Common Multiple of 88830 and 88845