What is the Greatest Common Factor of 93840 and 93850?

Greatest common factor (GCF) of 93840 and 93850 is 10.

GCF(93840,93850) = 10

We will now calculate the prime factors of 93840 and 93850, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93840 and 93850.

How to find the GCF of 93840 and 93850?

We will first find the prime factorization of 93840 and 93850. After we will calculate the factors of 93840 and 93850 and find the biggest common factor number .

Step-1: Prime Factorization of 93840

Prime factors of 93840 are 2, 3, 5, 17, 23. Prime factorization of 93840 in exponential form is:

93840 = 2⁴ × 3¹ × 5¹ × 17¹ × 23¹

Step-2: Prime Factorization of 93850

Prime factors of 93850 are 2, 5, 1877. Prime factorization of 93850 in exponential form is:

93850 = 2¹ × 5² × 1877¹

Step-3: Factors of 93840

List of positive integer factors of 93840 that divides 93840 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 17, 20, 23, 24, 30, 34, 40, 46, 48, 51, 60, 68, 69, 80, 85, 92, 102, 115, 120, 136, 138, 170, 184, 204, 230, 240, 255, 272, 276, 340, 345, 368, 391, 408, 460, 510, 552, 680, 690, 782, 816, 920, 1020, 1104, 1173, 1360, 1380, 1564, 1840, 1955, 2040, 2346, 2760, 3128, 3910, 4080, 4692, 5520, 5865, 6256, 7820, 9384, 11730, 15640, 18768, 23460, 31280, 46920

Step-4: Factors of 93850

List of positive integer factors of 93850 that divides 93840 without a remainder.

1, 2, 5, 10, 25, 50, 1877, 3754, 9385, 18770, 46925

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93840 and 93850. The biggest common factor number is the GCF number.
So the greatest common factor 93840 and 93850 is 10.

Also check out the Least Common Multiple of 93840 and 93850