What is the Greatest Common Factor of 61882 and 61900?

Greatest common factor (GCF) of 61882 and 61900 is 2.

GCF(61882,61900) = 2

We will now calculate the prime factors of 61882 and 61900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61882 and 61900.

How to find the GCF of 61882 and 61900?

We will first find the prime factorization of 61882 and 61900. After we will calculate the factors of 61882 and 61900 and find the biggest common factor number .

Step-1: Prime Factorization of 61882

Prime factors of 61882 are 2, 30941. Prime factorization of 61882 in exponential form is:

61882 = 2¹ × 30941¹

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 61882

List of positive integer factors of 61882 that divides 61882 without a remainder.

1, 2, 30941

Step-4: Factors of 61900

List of positive integer factors of 61900 that divides 61882 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 61882 and 61900. The biggest common factor number is the GCF number.
So the greatest common factor 61882 and 61900 is 2.

Also check out the Least Common Multiple of 61882 and 61900