What is the Greatest Common Factor of 59761 and 59777?

Greatest common factor (GCF) of 59761 and 59777 is 1.

GCF(59761,59777) = 1

We will now calculate the prime factors of 59761 and 59777, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59761 and 59777.

How to find the GCF of 59761 and 59777?

We will first find the prime factorization of 59761 and 59777. After we will calculate the factors of 59761 and 59777 and find the biggest common factor number .

Step-1: Prime Factorization of 59761

Prime factors of 59761 are 13, 4597. Prime factorization of 59761 in exponential form is:

59761 = 13¹ × 4597¹

Step-2: Prime Factorization of 59777

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

59777 = 23² × 113¹

Step-3: Factors of 59761

List of positive integer factors of 59761 that divides 59761 without a remainder.

1, 13, 4597

Step-4: Factors of 59777

List of positive integer factors of 59777 that divides 59761 without a remainder.

1, 23, 113, 529, 2599

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59761 and 59777. The biggest common factor number is the GCF number.
So the greatest common factor 59761 and 59777 is 1.

Also check out the Least Common Multiple of 59761 and 59777