What is the Greatest Common Factor of 94854 and 94874?

Greatest common factor (GCF) of 94854 and 94874 is 2.

GCF(94854,94874) = 2

We will now calculate the prime factors of 94854 and 94874, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94854 and 94874.

How to find the GCF of 94854 and 94874?

We will first find the prime factorization of 94854 and 94874. After we will calculate the factors of 94854 and 94874 and find the biggest common factor number .

Step-1: Prime Factorization of 94854

Prime factors of 94854 are 2, 3, 15809. Prime factorization of 94854 in exponential form is:

94854 = 2¹ × 3¹ × 15809¹

Step-2: Prime Factorization of 94874

Prime factors of 94874 are 2, 13, 41, 89. Prime factorization of 94874 in exponential form is:

94874 = 2¹ × 13¹ × 41¹ × 89¹

Step-3: Factors of 94854

List of positive integer factors of 94854 that divides 94854 without a remainder.

1, 2, 3, 6, 15809, 31618, 47427

Step-4: Factors of 94874

List of positive integer factors of 94874 that divides 94854 without a remainder.

1, 2, 13, 26, 41, 82, 89, 178, 533, 1066, 1157, 2314, 3649, 7298, 47437

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94854 and 94874. The biggest common factor number is the GCF number.
So the greatest common factor 94854 and 94874 is 2.

Also check out the Least Common Multiple of 94854 and 94874