What is the Greatest Common Factor of 61889 and 61897?

Greatest common factor (GCF) of 61889 and 61897 is 1.

GCF(61889,61897) = 1

We will now calculate the prime factors of 61889 and 61897, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61889 and 61897.

How to find the GCF of 61889 and 61897?

We will first find the prime factorization of 61889 and 61897. After we will calculate the factors of 61889 and 61897 and find the biggest common factor number .

Step-1: Prime Factorization of 61889

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

61889 = 199¹ × 311¹

Step-2: Prime Factorization of 61897

Prime factors of 61897 are 11, 17, 331. Prime factorization of 61897 in exponential form is:

61897 = 11¹ × 17¹ × 331¹

Step-3: Factors of 61889

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

1, 199, 311

Step-4: Factors of 61897

List of positive integer factors of 61897 that divides 61889 without a remainder.

1, 11, 17, 187, 331, 3641, 5627

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61889 and 61897. The biggest common factor number is the GCF number.
So the greatest common factor 61889 and 61897 is 1.

Also check out the Least Common Multiple of 61889 and 61897