What is the Greatest Common Factor of 88830 and 88849?

Greatest common factor (GCF) of 88830 and 88849 is 1.

GCF(88830,88849) = 1

We will now calculate the prime factors of 88830 and 88849, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88830 and 88849.

How to find the GCF of 88830 and 88849?

We will first find the prime factorization of 88830 and 88849. After we will calculate the factors of 88830 and 88849 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 88849

Prime factors of 88849 are 23, 3863. Prime factorization of 88849 in exponential form is:

88849 = 23¹ × 3863¹

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 88849

List of positive integer factors of 88849 that divides 88830 without a remainder.

1, 23, 3863

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88830 and 88849. The biggest common factor number is the GCF number.
So the greatest common factor 88830 and 88849 is 1.

Also check out the Least Common Multiple of 88830 and 88849