What is the Greatest Common Factor of 58772 and 58777?

Greatest common factor (GCF) of 58772 and 58777 is 1.

GCF(58772,58777) = 1

We will now calculate the prime factors of 58772 and 58777, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58772 and 58777.

How to find the GCF of 58772 and 58777?

We will first find the prime factorization of 58772 and 58777. After we will calculate the factors of 58772 and 58777 and find the biggest common factor number .

Step-1: Prime Factorization of 58772

Prime factors of 58772 are 2, 7, 2099. Prime factorization of 58772 in exponential form is:

58772 = 2² × 7¹ × 2099¹

Step-2: Prime Factorization of 58777

Prime factors of 58777 are 53, 1109. Prime factorization of 58777 in exponential form is:

58777 = 53¹ × 1109¹

Step-3: Factors of 58772

List of positive integer factors of 58772 that divides 58772 without a remainder.

1, 2, 4, 7, 14, 28, 2099, 4198, 8396, 14693, 29386

Step-4: Factors of 58777

List of positive integer factors of 58777 that divides 58772 without a remainder.

1, 53, 1109

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58772 and 58777. The biggest common factor number is the GCF number.
So the greatest common factor 58772 and 58777 is 1.

Also check out the Least Common Multiple of 58772 and 58777