What is the Greatest Common Factor of 61885 and 61900?

Greatest common factor (GCF) of 61885 and 61900 is 5.

GCF(61885,61900) = 5

We will now calculate the prime factors of 61885 and 61900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61885 and 61900.

How to find the GCF of 61885 and 61900?

We will first find the prime factorization of 61885 and 61900. After we will calculate the factors of 61885 and 61900 and find the biggest common factor number .

Step-1: Prime Factorization of 61885

Prime factors of 61885 are 5, 12377. Prime factorization of 61885 in exponential form is:

61885 = 5¹ × 12377¹

Step-2: Prime Factorization of 61900

Prime factors of 61900 are 2, 5, 619. Prime factorization of 61900 in exponential form is:

61900 = 2² × 5² × 619¹

Step-3: Factors of 61885

List of positive integer factors of 61885 that divides 61885 without a remainder.

1, 5, 12377

Step-4: Factors of 61900

List of positive integer factors of 61900 that divides 61885 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 619, 1238, 2476, 3095, 6190, 12380, 15475, 30950

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61885 and 61900. The biggest common factor number is the GCF number.
So the greatest common factor 61885 and 61900 is 5.

Also check out the Least Common Multiple of 61885 and 61900