What is the Greatest Common Factor of 58869 and 58884?

Greatest common factor (GCF) of 58869 and 58884 is 3.

GCF(58869,58884) = 3

We will now calculate the prime factors of 58869 and 58884, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58869 and 58884.

How to find the GCF of 58869 and 58884?

We will first find the prime factorization of 58869 and 58884. After we will calculate the factors of 58869 and 58884 and find the biggest common factor number .

Step-1: Prime Factorization of 58869

Prime factors of 58869 are 3, 31, 211. Prime factorization of 58869 in exponential form is:

58869 = 3² × 31¹ × 211¹

Step-2: Prime Factorization of 58884

Prime factors of 58884 are 2, 3, 7, 701. Prime factorization of 58884 in exponential form is:

58884 = 2² × 3¹ × 7¹ × 701¹

Step-3: Factors of 58869

List of positive integer factors of 58869 that divides 58869 without a remainder.

1, 3, 9, 31, 93, 211, 279, 633, 1899, 6541, 19623

Step-4: Factors of 58884

List of positive integer factors of 58884 that divides 58869 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 701, 1402, 2103, 2804, 4206, 4907, 8412, 9814, 14721, 19628, 29442

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58869 and 58884. The biggest common factor number is the GCF number.
So the greatest common factor 58869 and 58884 is 3.

Also check out the Least Common Multiple of 58869 and 58884