What is the Greatest Common Factor of 88830 and 88840?

Greatest common factor (GCF) of 88830 and 88840 is 10.

GCF(88830,88840) = 10

We will now calculate the prime factors of 88830 and 88840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88830 and 88840.

How to find the GCF of 88830 and 88840?

We will first find the prime factorization of 88830 and 88840. After we will calculate the factors of 88830 and 88840 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 88840

Prime factors of 88840 are 2, 5, 2221. Prime factorization of 88840 in exponential form is:

88840 = 2³ × 5¹ × 2221¹

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 88840

List of positive integer factors of 88840 that divides 88830 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 2221, 4442, 8884, 11105, 17768, 22210, 44420

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88830 and 88840. The biggest common factor number is the GCF number.
So the greatest common factor 88830 and 88840 is 10.

Also check out the Least Common Multiple of 88830 and 88840