What is the Greatest Common Factor of 61900 and 61909?

Greatest common factor (GCF) of 61900 and 61909 is 1.

GCF(61900,61909) = 1

We will now calculate the prime factors of 61900 and 61909, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61900 and 61909.

How to find the GCF of 61900 and 61909?

We will first find the prime factorization of 61900 and 61909. After we will calculate the factors of 61900 and 61909 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 61909

Prime factors of 61909 are 61909. Prime factorization of 61909 in exponential form is:

61909 = 61909¹

Step-3: Factors of 61900

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

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

Step-4: Factors of 61909

List of positive integer factors of 61909 that divides 61900 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61900 and 61909. The biggest common factor number is the GCF number.
So the greatest common factor 61900 and 61909 is 1.

Also check out the Least Common Multiple of 61900 and 61909