What is the Greatest Common Factor of 61874 and 61889?

Greatest common factor (GCF) of 61874 and 61889 is 1.

GCF(61874,61889) = 1

We will now calculate the prime factors of 61874 and 61889, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61874 and 61889.

How to find the GCF of 61874 and 61889?

We will first find the prime factorization of 61874 and 61889. After we will calculate the factors of 61874 and 61889 and find the biggest common factor number .

Step-1: Prime Factorization of 61874

Prime factors of 61874 are 2, 30937. Prime factorization of 61874 in exponential form is:

61874 = 2¹ × 30937¹

Step-2: Prime Factorization of 61889

Prime factors of 61889 are 199, 311. Prime factorization of 61889 in exponential form is:

61889 = 199¹ × 311¹

Step-3: Factors of 61874

List of positive integer factors of 61874 that divides 61874 without a remainder.

1, 2, 30937

Step-4: Factors of 61889

List of positive integer factors of 61889 that divides 61874 without a remainder.

1, 199, 311

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61874 and 61889. The biggest common factor number is the GCF number.
So the greatest common factor 61874 and 61889 is 1.

Also check out the Least Common Multiple of 61874 and 61889