What is the Greatest Common Factor of 94796 and 94812?

Greatest common factor (GCF) of 94796 and 94812 is 4.

GCF(94796,94812) = 4

We will now calculate the prime factors of 94796 and 94812, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94796 and 94812.

How to find the GCF of 94796 and 94812?

We will first find the prime factorization of 94796 and 94812. After we will calculate the factors of 94796 and 94812 and find the biggest common factor number .

Step-1: Prime Factorization of 94796

Prime factors of 94796 are 2, 13, 1823. Prime factorization of 94796 in exponential form is:

94796 = 2² × 13¹ × 1823¹

Step-2: Prime Factorization of 94812

Prime factors of 94812 are 2, 3, 7901. Prime factorization of 94812 in exponential form is:

94812 = 2² × 3¹ × 7901¹

Step-3: Factors of 94796

List of positive integer factors of 94796 that divides 94796 without a remainder.

1, 2, 4, 13, 26, 52, 1823, 3646, 7292, 23699, 47398

Step-4: Factors of 94812

List of positive integer factors of 94812 that divides 94796 without a remainder.

1, 2, 3, 4, 6, 12, 7901, 15802, 23703, 31604, 47406

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94796 and 94812. The biggest common factor number is the GCF number.
So the greatest common factor 94796 and 94812 is 4.

Also check out the Least Common Multiple of 94796 and 94812