What is the Greatest Common Factor of 61901 and 61909?

Greatest common factor (GCF) of 61901 and 61909 is 1.

GCF(61901,61909) = 1

We will now calculate the prime factors of 61901 and 61909, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61901 and 61909.

How to find the GCF of 61901 and 61909?

We will first find the prime factorization of 61901 and 61909. After we will calculate the factors of 61901 and 61909 and find the biggest common factor number .

Step-1: Prime Factorization of 61901

Prime factors of 61901 are 7, 37, 239. Prime factorization of 61901 in exponential form is:

61901 = 7¹ × 37¹ × 239¹

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 61901

List of positive integer factors of 61901 that divides 61901 without a remainder.

1, 7, 37, 239, 259, 1673, 8843

Step-4: Factors of 61909

List of positive integer factors of 61909 that divides 61901 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61901 and 61909. The biggest common factor number is the GCF number.
So the greatest common factor 61901 and 61909 is 1.

Also check out the Least Common Multiple of 61901 and 61909