What is the Greatest Common Factor of 61835 and 61855?

Greatest common factor (GCF) of 61835 and 61855 is 5.

GCF(61835,61855) = 5

We will now calculate the prime factors of 61835 and 61855, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61835 and 61855.

How to find the GCF of 61835 and 61855?

We will first find the prime factorization of 61835 and 61855. After we will calculate the factors of 61835 and 61855 and find the biggest common factor number .

Step-1: Prime Factorization of 61835

Prime factors of 61835 are 5, 83, 149. Prime factorization of 61835 in exponential form is:

61835 = 5¹ × 83¹ × 149¹

Step-2: Prime Factorization of 61855

Prime factors of 61855 are 5, 89, 139. Prime factorization of 61855 in exponential form is:

61855 = 5¹ × 89¹ × 139¹

Step-3: Factors of 61835

List of positive integer factors of 61835 that divides 61835 without a remainder.

1, 5, 83, 149, 415, 745, 12367

Step-4: Factors of 61855

List of positive integer factors of 61855 that divides 61835 without a remainder.

1, 5, 89, 139, 445, 695, 12371

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61835 and 61855. The biggest common factor number is the GCF number.
So the greatest common factor 61835 and 61855 is 5.

Also check out the Least Common Multiple of 61835 and 61855