What is the Greatest Common Factor of 58892 and 58902?

Greatest common factor (GCF) of 58892 and 58902 is 2.

GCF(58892,58902) = 2

We will now calculate the prime factors of 58892 and 58902, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58892 and 58902.

How to find the GCF of 58892 and 58902?

We will first find the prime factorization of 58892 and 58902. After we will calculate the factors of 58892 and 58902 and find the biggest common factor number .

Step-1: Prime Factorization of 58892

Prime factors of 58892 are 2, 14723. Prime factorization of 58892 in exponential form is:

58892 = 2² × 14723¹

Step-2: Prime Factorization of 58902

Prime factors of 58902 are 2, 3, 9817. Prime factorization of 58902 in exponential form is:

58902 = 2¹ × 3¹ × 9817¹

Step-3: Factors of 58892

List of positive integer factors of 58892 that divides 58892 without a remainder.

1, 2, 4, 14723, 29446

Step-4: Factors of 58902

List of positive integer factors of 58902 that divides 58892 without a remainder.

1, 2, 3, 6, 9817, 19634, 29451

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58892 and 58902. The biggest common factor number is the GCF number.
So the greatest common factor 58892 and 58902 is 2.

Also check out the Least Common Multiple of 58892 and 58902