What is the Greatest Common Factor of 61789 and 61807?

Greatest common factor (GCF) of 61789 and 61807 is 1.

GCF(61789,61807) = 1

We will now calculate the prime factors of 61789 and 61807, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61789 and 61807.

How to find the GCF of 61789 and 61807?

We will first find the prime factorization of 61789 and 61807. After we will calculate the factors of 61789 and 61807 and find the biggest common factor number .

Step-1: Prime Factorization of 61789

Prime factors of 61789 are 7, 13, 97. Prime factorization of 61789 in exponential form is:

61789 = 7² × 13¹ × 97¹

Step-2: Prime Factorization of 61807

Prime factors of 61807 are 19, 3253. Prime factorization of 61807 in exponential form is:

61807 = 19¹ × 3253¹

Step-3: Factors of 61789

List of positive integer factors of 61789 that divides 61789 without a remainder.

1, 7, 13, 49, 91, 97, 637, 679, 1261, 4753, 8827

Step-4: Factors of 61807

List of positive integer factors of 61807 that divides 61789 without a remainder.

1, 19, 3253

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61789 and 61807. The biggest common factor number is the GCF number.
So the greatest common factor 61789 and 61807 is 1.

Also check out the Least Common Multiple of 61789 and 61807