What is the Greatest Common Factor of 88830 and 88850?

Greatest common factor (GCF) of 88830 and 88850 is 10.

GCF(88830,88850) = 10

We will now calculate the prime factors of 88830 and 88850, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88830 and 88850.

How to find the GCF of 88830 and 88850?

We will first find the prime factorization of 88830 and 88850. After we will calculate the factors of 88830 and 88850 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 88850

Prime factors of 88850 are 2, 5, 1777. Prime factorization of 88850 in exponential form is:

88850 = 2¹ × 5² × 1777¹

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 88850

List of positive integer factors of 88850 that divides 88830 without a remainder.

1, 2, 5, 10, 25, 50, 1777, 3554, 8885, 17770, 44425

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88830 and 88850. The biggest common factor number is the GCF number.
So the greatest common factor 88830 and 88850 is 10.

Also check out the Least Common Multiple of 88830 and 88850