What is the Greatest Common Factor of 76770 and 76785?

Greatest common factor (GCF) of 76770 and 76785 is 15.

GCF(76770,76785) = 15

We will now calculate the prime factors of 76770 and 76785, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76770 and 76785.

How to find the GCF of 76770 and 76785?

We will first find the prime factorization of 76770 and 76785. After we will calculate the factors of 76770 and 76785 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 76785

Prime factors of 76785 are 3, 5, 5119. Prime factorization of 76785 in exponential form is:

76785 = 3¹ × 5¹ × 5119¹

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 76785

List of positive integer factors of 76785 that divides 76770 without a remainder.

1, 3, 5, 15, 5119, 15357, 25595

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76770 and 76785. The biggest common factor number is the GCF number.
So the greatest common factor 76770 and 76785 is 15.

Also check out the Least Common Multiple of 76770 and 76785