What is the Greatest Common Factor of 59855 and 59860?

Greatest common factor (GCF) of 59855 and 59860 is 5.

GCF(59855,59860) = 5

We will now calculate the prime factors of 59855 and 59860, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59855 and 59860.

How to find the GCF of 59855 and 59860?

We will first find the prime factorization of 59855 and 59860. After we will calculate the factors of 59855 and 59860 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 59860

Prime factors of 59860 are 2, 5, 41, 73. Prime factorization of 59860 in exponential form is:

59860 = 2² × 5¹ × 41¹ × 73¹

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 59860

List of positive integer factors of 59860 that divides 59855 without a remainder.

1, 2, 4, 5, 10, 20, 41, 73, 82, 146, 164, 205, 292, 365, 410, 730, 820, 1460, 2993, 5986, 11972, 14965, 29930

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59855 and 59860. The biggest common factor number is the GCF number.
So the greatest common factor 59855 and 59860 is 5.

Also check out the Least Common Multiple of 59855 and 59860