What is the Greatest Common Factor of 58840 and 58850?

Greatest common factor (GCF) of 58840 and 58850 is 10.

GCF(58840,58850) = 10

We will now calculate the prime factors of 58840 and 58850, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58840 and 58850.

How to find the GCF of 58840 and 58850?

We will first find the prime factorization of 58840 and 58850. After we will calculate the factors of 58840 and 58850 and find the biggest common factor number .

Step-1: Prime Factorization of 58840

Prime factors of 58840 are 2, 5, 1471. Prime factorization of 58840 in exponential form is:

58840 = 2³ × 5¹ × 1471¹

Step-2: Prime Factorization of 58850

Prime factors of 58850 are 2, 5, 11, 107. Prime factorization of 58850 in exponential form is:

58850 = 2¹ × 5² × 11¹ × 107¹

Step-3: Factors of 58840

List of positive integer factors of 58840 that divides 58840 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1471, 2942, 5884, 7355, 11768, 14710, 29420

Step-4: Factors of 58850

List of positive integer factors of 58850 that divides 58840 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 107, 110, 214, 275, 535, 550, 1070, 1177, 2354, 2675, 5350, 5885, 11770, 29425

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58840 and 58850. The biggest common factor number is the GCF number.
So the greatest common factor 58840 and 58850 is 10.

Also check out the Least Common Multiple of 58840 and 58850