What is the Greatest Common Factor of 94794 and 94814?

Greatest common factor (GCF) of 94794 and 94814 is 2.

GCF(94794,94814) = 2

We will now calculate the prime factors of 94794 and 94814, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94794 and 94814.

How to find the GCF of 94794 and 94814?

We will first find the prime factorization of 94794 and 94814. After we will calculate the factors of 94794 and 94814 and find the biggest common factor number .

Step-1: Prime Factorization of 94794

Prime factors of 94794 are 2, 3, 7, 37, 61. Prime factorization of 94794 in exponential form is:

94794 = 2¹ × 3¹ × 7¹ × 37¹ × 61¹

Step-2: Prime Factorization of 94814

Prime factors of 94814 are 2, 47407. Prime factorization of 94814 in exponential form is:

94814 = 2¹ × 47407¹

Step-3: Factors of 94794

List of positive integer factors of 94794 that divides 94794 without a remainder.

1, 2, 3, 6, 7, 14, 21, 37, 42, 61, 74, 111, 122, 183, 222, 259, 366, 427, 518, 777, 854, 1281, 1554, 2257, 2562, 4514, 6771, 13542, 15799, 31598, 47397

Step-4: Factors of 94814

List of positive integer factors of 94814 that divides 94794 without a remainder.

1, 2, 47407

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94794 and 94814. The biggest common factor number is the GCF number.
So the greatest common factor 94794 and 94814 is 2.

Also check out the Least Common Multiple of 94794 and 94814