What is the Greatest Common Factor of 94871 and 94878?

Greatest common factor (GCF) of 94871 and 94878 is 7.

GCF(94871,94878) = 7

We will now calculate the prime factors of 94871 and 94878, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94871 and 94878.

How to find the GCF of 94871 and 94878?

We will first find the prime factorization of 94871 and 94878. After we will calculate the factors of 94871 and 94878 and find the biggest common factor number .

Step-1: Prime Factorization of 94871

Prime factors of 94871 are 7, 13553. Prime factorization of 94871 in exponential form is:

94871 = 7¹ × 13553¹

Step-2: Prime Factorization of 94878

Prime factors of 94878 are 2, 3, 7, 251. Prime factorization of 94878 in exponential form is:

94878 = 2¹ × 3³ × 7¹ × 251¹

Step-3: Factors of 94871

List of positive integer factors of 94871 that divides 94871 without a remainder.

1, 7, 13553

Step-4: Factors of 94878

List of positive integer factors of 94878 that divides 94871 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 251, 378, 502, 753, 1506, 1757, 2259, 3514, 4518, 5271, 6777, 10542, 13554, 15813, 31626, 47439

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94871 and 94878. The biggest common factor number is the GCF number.
So the greatest common factor 94871 and 94878 is 7.

Also check out the Least Common Multiple of 94871 and 94878