What is the Greatest Common Factor of 76770 and 76775?

Greatest common factor (GCF) of 76770 and 76775 is 5.

GCF(76770,76775) = 5

We will now calculate the prime factors of 76770 and 76775, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76770 and 76775.

How to find the GCF of 76770 and 76775?

We will first find the prime factorization of 76770 and 76775. After we will calculate the factors of 76770 and 76775 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 76775

Prime factors of 76775 are 5, 37, 83. Prime factorization of 76775 in exponential form is:

76775 = 5² × 37¹ × 83¹

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 76775

List of positive integer factors of 76775 that divides 76770 without a remainder.

1, 5, 25, 37, 83, 185, 415, 925, 2075, 3071, 15355

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76770 and 76775. The biggest common factor number is the GCF number.
So the greatest common factor 76770 and 76775 is 5.

Also check out the Least Common Multiple of 76770 and 76775