What is the Greatest Common Factor of 88823 and 88830?

Greatest common factor (GCF) of 88823 and 88830 is 7.

GCF(88823,88830) = 7

We will now calculate the prime factors of 88823 and 88830, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88823 and 88830.

How to find the GCF of 88823 and 88830?

We will first find the prime factorization of 88823 and 88830. After we will calculate the factors of 88823 and 88830 and find the biggest common factor number .

Step-1: Prime Factorization of 88823

Prime factors of 88823 are 7, 12689. Prime factorization of 88823 in exponential form is:

88823 = 7¹ × 12689¹

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 88823

List of positive integer factors of 88823 that divides 88823 without a remainder.

1, 7, 12689

Step-4: Factors of 88830

List of positive integer factors of 88830 that divides 88823 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 88823 and 88830. The biggest common factor number is the GCF number.
So the greatest common factor 88823 and 88830 is 7.

Also check out the Least Common Multiple of 88823 and 88830