What is the Greatest Common Factor of 94872 and 94884?

Greatest common factor (GCF) of 94872 and 94884 is 12.

GCF(94872,94884) = 12

We will now calculate the prime factors of 94872 and 94884, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94872 and 94884.

How to find the GCF of 94872 and 94884?

We will first find the prime factorization of 94872 and 94884. After we will calculate the factors of 94872 and 94884 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 94884

Prime factors of 94884 are 2, 3, 7907. Prime factorization of 94884 in exponential form is:

94884 = 2² × 3¹ × 7907¹

Step-3: Factors of 94872

List of positive integer factors of 94872 that divides 94872 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

Step-4: Factors of 94884

List of positive integer factors of 94884 that divides 94872 without a remainder.

1, 2, 3, 4, 6, 12, 7907, 15814, 23721, 31628, 47442

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94872 and 94884. The biggest common factor number is the GCF number.
So the greatest common factor 94872 and 94884 is 12.

Also check out the Least Common Multiple of 94872 and 94884