What is the Greatest Common Factor of 94805 and 94820?

Greatest common factor (GCF) of 94805 and 94820 is 5.

GCF(94805,94820) = 5

We will now calculate the prime factors of 94805 and 94820, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94805 and 94820.

How to find the GCF of 94805 and 94820?

We will first find the prime factorization of 94805 and 94820. After we will calculate the factors of 94805 and 94820 and find the biggest common factor number .

Step-1: Prime Factorization of 94805

Prime factors of 94805 are 5, 67, 283. Prime factorization of 94805 in exponential form is:

94805 = 5¹ × 67¹ × 283¹

Step-2: 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-3: Factors of 94805

List of positive integer factors of 94805 that divides 94805 without a remainder.

1, 5, 67, 283, 335, 1415, 18961

Step-4: Factors of 94820

List of positive integer factors of 94820 that divides 94805 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94805 and 94820. The biggest common factor number is the GCF number.
So the greatest common factor 94805 and 94820 is 5.

Also check out the Least Common Multiple of 94805 and 94820