What is the Greatest Common Factor of 76770 and 76777?

Greatest common factor (GCF) of 76770 and 76777 is 1.

GCF(76770,76777) = 1

We will now calculate the prime factors of 76770 and 76777, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76770 and 76777.

How to find the GCF of 76770 and 76777?

We will first find the prime factorization of 76770 and 76777. After we will calculate the factors of 76770 and 76777 and find the biggest common factor number .

Step-1: Prime Factorization of 76770

Prime factors of 76770 are 2, 3, 5, 853. Prime factorization of 76770 in exponential form is:

76770 = 2¹ × 3² × 5¹ × 853¹

Step-2: Prime Factorization of 76777

Prime factors of 76777 are 76777. Prime factorization of 76777 in exponential form is:

76777 = 76777¹

Step-3: Factors of 76770

List of positive integer factors of 76770 that divides 76770 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 853, 1706, 2559, 4265, 5118, 7677, 8530, 12795, 15354, 25590, 38385

Step-4: Factors of 76777

List of positive integer factors of 76777 that divides 76770 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76770 and 76777. The biggest common factor number is the GCF number.
So the greatest common factor 76770 and 76777 is 1.

Also check out the Least Common Multiple of 76770 and 76777