What is the Greatest Common Factor of 94830 and 94840?

Greatest common factor (GCF) of 94830 and 94840 is 10.

GCF(94830,94840) = 10

We will now calculate the prime factors of 94830 and 94840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94830 and 94840.

How to find the GCF of 94830 and 94840?

We will first find the prime factorization of 94830 and 94840. After we will calculate the factors of 94830 and 94840 and find the biggest common factor number .

Step-1: Prime Factorization of 94830

Prime factors of 94830 are 2, 3, 5, 29, 109. Prime factorization of 94830 in exponential form is:

94830 = 2¹ × 3¹ × 5¹ × 29¹ × 109¹

Step-2: Prime Factorization of 94840

Prime factors of 94840 are 2, 5, 2371. Prime factorization of 94840 in exponential form is:

94840 = 2³ × 5¹ × 2371¹

Step-3: Factors of 94830

List of positive integer factors of 94830 that divides 94830 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 109, 145, 174, 218, 290, 327, 435, 545, 654, 870, 1090, 1635, 3161, 3270, 6322, 9483, 15805, 18966, 31610, 47415

Step-4: Factors of 94840

List of positive integer factors of 94840 that divides 94830 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 2371, 4742, 9484, 11855, 18968, 23710, 47420

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94830 and 94840. The biggest common factor number is the GCF number.
So the greatest common factor 94830 and 94840 is 10.

Also check out the Least Common Multiple of 94830 and 94840