What is the Greatest Common Factor of 58849 and 58856?

Greatest common factor (GCF) of 58849 and 58856 is 7.

GCF(58849,58856) = 7

We will now calculate the prime factors of 58849 and 58856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58849 and 58856.

How to find the GCF of 58849 and 58856?

We will first find the prime factorization of 58849 and 58856. After we will calculate the factors of 58849 and 58856 and find the biggest common factor number .

Step-1: Prime Factorization of 58849

Prime factors of 58849 are 7, 1201. Prime factorization of 58849 in exponential form is:

58849 = 7² × 1201¹

Step-2: Prime Factorization of 58856

Prime factors of 58856 are 2, 7, 1051. Prime factorization of 58856 in exponential form is:

58856 = 2³ × 7¹ × 1051¹

Step-3: Factors of 58849

List of positive integer factors of 58849 that divides 58849 without a remainder.

1, 7, 49, 1201, 8407

Step-4: Factors of 58856

List of positive integer factors of 58856 that divides 58849 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1051, 2102, 4204, 7357, 8408, 14714, 29428

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58849 and 58856. The biggest common factor number is the GCF number.
So the greatest common factor 58849 and 58856 is 7.

Also check out the Least Common Multiple of 58849 and 58856