What is the Greatest Common Factor of 88825 and 88830?

Greatest common factor (GCF) of 88825 and 88830 is 5.

GCF(88825,88830) = 5

We will now calculate the prime factors of 88825 and 88830, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88825 and 88830.

How to find the GCF of 88825 and 88830?

We will first find the prime factorization of 88825 and 88830. After we will calculate the factors of 88825 and 88830 and find the biggest common factor number .

Step-1: Prime Factorization of 88825

Prime factors of 88825 are 5, 11, 17, 19. Prime factorization of 88825 in exponential form is:

88825 = 5² × 11¹ × 17¹ × 19¹

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 88825

List of positive integer factors of 88825 that divides 88825 without a remainder.

1, 5, 11, 17, 19, 25, 55, 85, 95, 187, 209, 275, 323, 425, 475, 935, 1045, 1615, 3553, 4675, 5225, 8075, 17765

Step-4: Factors of 88830

List of positive integer factors of 88830 that divides 88825 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 88825 and 88830. The biggest common factor number is the GCF number.
So the greatest common factor 88825 and 88830 is 5.

Also check out the Least Common Multiple of 88825 and 88830