What is the Greatest Common Factor of 59855 and 59870?

Greatest common factor (GCF) of 59855 and 59870 is 5.

GCF(59855,59870) = 5

We will now calculate the prime factors of 59855 and 59870, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59855 and 59870.

How to find the GCF of 59855 and 59870?

We will first find the prime factorization of 59855 and 59870. After we will calculate the factors of 59855 and 59870 and find the biggest common factor number .

Step-1: Prime Factorization of 59855

Prime factors of 59855 are 5, 11971. Prime factorization of 59855 in exponential form is:

59855 = 5¹ × 11971¹

Step-2: Prime Factorization of 59870

Prime factors of 59870 are 2, 5, 5987. Prime factorization of 59870 in exponential form is:

59870 = 2¹ × 5¹ × 5987¹

Step-3: Factors of 59855

List of positive integer factors of 59855 that divides 59855 without a remainder.

1, 5, 11971

Step-4: Factors of 59870

List of positive integer factors of 59870 that divides 59855 without a remainder.

1, 2, 5, 10, 5987, 11974, 29935

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59855 and 59870. The biggest common factor number is the GCF number.
So the greatest common factor 59855 and 59870 is 5.

Also check out the Least Common Multiple of 59855 and 59870