What is the Greatest Common Factor of 58884 and 58898?

Greatest common factor (GCF) of 58884 and 58898 is 14.

GCF(58884,58898) = 14

We will now calculate the prime factors of 58884 and 58898, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58884 and 58898.

How to find the GCF of 58884 and 58898?

We will first find the prime factorization of 58884 and 58898. After we will calculate the factors of 58884 and 58898 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 58898

Prime factors of 58898 are 2, 7, 601. Prime factorization of 58898 in exponential form is:

58898 = 2¹ × 7² × 601¹

Step-3: Factors of 58884

List of positive integer factors of 58884 that divides 58884 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

Step-4: Factors of 58898

List of positive integer factors of 58898 that divides 58884 without a remainder.

1, 2, 7, 14, 49, 98, 601, 1202, 4207, 8414, 29449

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58884 and 58898. The biggest common factor number is the GCF number.
So the greatest common factor 58884 and 58898 is 14.

Also check out the Least Common Multiple of 58884 and 58898