What is the Greatest Common Factor of 76770 and 76782?

Greatest common factor (GCF) of 76770 and 76782 is 6.

GCF(76770,76782) = 6

We will now calculate the prime factors of 76770 and 76782, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76770 and 76782.

How to find the GCF of 76770 and 76782?

We will first find the prime factorization of 76770 and 76782. After we will calculate the factors of 76770 and 76782 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 76782

Prime factors of 76782 are 2, 3, 67, 191. Prime factorization of 76782 in exponential form is:

76782 = 2¹ × 3¹ × 67¹ × 191¹

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 76782

List of positive integer factors of 76782 that divides 76770 without a remainder.

1, 2, 3, 6, 67, 134, 191, 201, 382, 402, 573, 1146, 12797, 25594, 38391

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76770 and 76782. The biggest common factor number is the GCF number.
So the greatest common factor 76770 and 76782 is 6.

Also check out the Least Common Multiple of 76770 and 76782