What is the Greatest Common Factor of 94784 and 94804?

Greatest common factor (GCF) of 94784 and 94804 is 4.

GCF(94784,94804) = 4

We will now calculate the prime factors of 94784 and 94804, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94784 and 94804.

How to find the GCF of 94784 and 94804?

We will first find the prime factorization of 94784 and 94804. After we will calculate the factors of 94784 and 94804 and find the biggest common factor number .

Step-1: Prime Factorization of 94784

Prime factors of 94784 are 2, 1481. Prime factorization of 94784 in exponential form is:

94784 = 2⁶ × 1481¹

Step-2: Prime Factorization of 94804

Prime factors of 94804 are 2, 137, 173. Prime factorization of 94804 in exponential form is:

94804 = 2² × 137¹ × 173¹

Step-3: Factors of 94784

List of positive integer factors of 94784 that divides 94784 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1481, 2962, 5924, 11848, 23696, 47392

Step-4: Factors of 94804

List of positive integer factors of 94804 that divides 94784 without a remainder.

1, 2, 4, 137, 173, 274, 346, 548, 692, 23701, 47402

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94784 and 94804. The biggest common factor number is the GCF number.
So the greatest common factor 94784 and 94804 is 4.

Also check out the Least Common Multiple of 94784 and 94804