What is the Greatest Common Factor of 88830 and 88848?

Greatest common factor (GCF) of 88830 and 88848 is 18.

GCF(88830,88848) = 18

We will now calculate the prime factors of 88830 and 88848, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88830 and 88848.

How to find the GCF of 88830 and 88848?

We will first find the prime factorization of 88830 and 88848. After we will calculate the factors of 88830 and 88848 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 88848

Prime factors of 88848 are 2, 3, 617. Prime factorization of 88848 in exponential form is:

88848 = 2⁴ × 3² × 617¹

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 88848

List of positive integer factors of 88848 that divides 88830 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 617, 1234, 1851, 2468, 3702, 4936, 5553, 7404, 9872, 11106, 14808, 22212, 29616, 44424

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88830 and 88848. The biggest common factor number is the GCF number.
So the greatest common factor 88830 and 88848 is 18.

Also check out the Least Common Multiple of 88830 and 88848