What is the Greatest Common Factor of 94805 and 94824?

Greatest common factor (GCF) of 94805 and 94824 is 1.

GCF(94805,94824) = 1

We will now calculate the prime factors of 94805 and 94824, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94805 and 94824.

How to find the GCF of 94805 and 94824?

We will first find the prime factorization of 94805 and 94824. After we will calculate the factors of 94805 and 94824 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 94824

Prime factors of 94824 are 2, 3, 439. Prime factorization of 94824 in exponential form is:

94824 = 2³ × 3³ × 439¹

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 94824

List of positive integer factors of 94824 that divides 94805 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216, 439, 878, 1317, 1756, 2634, 3512, 3951, 5268, 7902, 10536, 11853, 15804, 23706, 31608, 47412

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94805 and 94824. The biggest common factor number is the GCF number.
So the greatest common factor 94805 and 94824 is 1.

Also check out the Least Common Multiple of 94805 and 94824