What is the Greatest Common Factor of 94820 and 94830?

Greatest common factor (GCF) of 94820 and 94830 is 10.

GCF(94820,94830) = 10

We will now calculate the prime factors of 94820 and 94830, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94820 and 94830.

How to find the GCF of 94820 and 94830?

We will first find the prime factorization of 94820 and 94830. After we will calculate the factors of 94820 and 94830 and find the biggest common factor number .

Step-1: Prime Factorization of 94820

Prime factors of 94820 are 2, 5, 11, 431. Prime factorization of 94820 in exponential form is:

94820 = 2² × 5¹ × 11¹ × 431¹

Step-2: 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-3: Factors of 94820

List of positive integer factors of 94820 that divides 94820 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220, 431, 862, 1724, 2155, 4310, 4741, 8620, 9482, 18964, 23705, 47410

Step-4: Factors of 94830

List of positive integer factors of 94830 that divides 94820 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94820 and 94830. The biggest common factor number is the GCF number.
So the greatest common factor 94820 and 94830 is 10.

Also check out the Least Common Multiple of 94820 and 94830