What is the Greatest Common Factor of 59777 and 59789?

Greatest common factor (GCF) of 59777 and 59789 is 1.

GCF(59777,59789) = 1

We will now calculate the prime factors of 59777 and 59789, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59777 and 59789.

How to find the GCF of 59777 and 59789?

We will first find the prime factorization of 59777 and 59789. After we will calculate the factors of 59777 and 59789 and find the biggest common factor number .

Step-1: Prime Factorization of 59777

Prime factors of 59777 are 23, 113. Prime factorization of 59777 in exponential form is:

59777 = 23² × 113¹

Step-2: Prime Factorization of 59789

Prime factors of 59789 are 17, 3517. Prime factorization of 59789 in exponential form is:

59789 = 17¹ × 3517¹

Step-3: Factors of 59777

List of positive integer factors of 59777 that divides 59777 without a remainder.

1, 23, 113, 529, 2599

Step-4: Factors of 59789

List of positive integer factors of 59789 that divides 59777 without a remainder.

1, 17, 3517

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59777 and 59789. The biggest common factor number is the GCF number.
So the greatest common factor 59777 and 59789 is 1.

Also check out the Least Common Multiple of 59777 and 59789