What is the Greatest Common Factor of 94820 and 94831?

Greatest common factor (GCF) of 94820 and 94831 is 11.

GCF(94820,94831) = 11

We will now calculate the prime factors of 94820 and 94831, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94820 and 94831.

How to find the GCF of 94820 and 94831?

We will first find the prime factorization of 94820 and 94831. After we will calculate the factors of 94820 and 94831 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 94831

Prime factors of 94831 are 11, 37, 233. Prime factorization of 94831 in exponential form is:

94831 = 11¹ × 37¹ × 233¹

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 94831

List of positive integer factors of 94831 that divides 94820 without a remainder.

1, 11, 37, 233, 407, 2563, 8621

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94820 and 94831. The biggest common factor number is the GCF number.
So the greatest common factor 94820 and 94831 is 11.

Also check out the Least Common Multiple of 94820 and 94831