What is the Greatest Common Factor of 94857 and 94872?

Greatest common factor (GCF) of 94857 and 94872 is 3.

GCF(94857,94872) = 3

We will now calculate the prime factors of 94857 and 94872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94857 and 94872.

How to find the GCF of 94857 and 94872?

We will first find the prime factorization of 94857 and 94872. After we will calculate the factors of 94857 and 94872 and find the biggest common factor number .

Step-1: Prime Factorization of 94857

Prime factors of 94857 are 3, 7, 4517. Prime factorization of 94857 in exponential form is:

94857 = 3¹ × 7¹ × 4517¹

Step-2: Prime Factorization of 94872

Prime factors of 94872 are 2, 3, 59, 67. Prime factorization of 94872 in exponential form is:

94872 = 2³ × 3¹ × 59¹ × 67¹

Step-3: Factors of 94857

List of positive integer factors of 94857 that divides 94857 without a remainder.

1, 3, 7, 21, 4517, 13551, 31619

Step-4: Factors of 94872

List of positive integer factors of 94872 that divides 94857 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 59, 67, 118, 134, 177, 201, 236, 268, 354, 402, 472, 536, 708, 804, 1416, 1608, 3953, 7906, 11859, 15812, 23718, 31624, 47436

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94857 and 94872. The biggest common factor number is the GCF number.
So the greatest common factor 94857 and 94872 is 3.

Also check out the Least Common Multiple of 94857 and 94872