What is the Greatest Common Factor of 77010 and 77022?

Greatest common factor (GCF) of 77010 and 77022 is 6.

GCF(77010,77022) = 6

We will now calculate the prime factors of 77010 and 77022, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77010 and 77022.

How to find the GCF of 77010 and 77022?

We will first find the prime factorization of 77010 and 77022. After we will calculate the factors of 77010 and 77022 and find the biggest common factor number .

Step-1: Prime Factorization of 77010

Prime factors of 77010 are 2, 3, 5, 17, 151. Prime factorization of 77010 in exponential form is:

77010 = 2¹ × 3¹ × 5¹ × 17¹ × 151¹

Step-2: Prime Factorization of 77022

Prime factors of 77022 are 2, 3, 11, 389. Prime factorization of 77022 in exponential form is:

77022 = 2¹ × 3² × 11¹ × 389¹

Step-3: Factors of 77010

List of positive integer factors of 77010 that divides 77010 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 151, 170, 255, 302, 453, 510, 755, 906, 1510, 2265, 2567, 4530, 5134, 7701, 12835, 15402, 25670, 38505

Step-4: Factors of 77022

List of positive integer factors of 77022 that divides 77010 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198, 389, 778, 1167, 2334, 3501, 4279, 7002, 8558, 12837, 25674, 38511

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77010 and 77022. The biggest common factor number is the GCF number.
So the greatest common factor 77010 and 77022 is 6.

Also check out the Least Common Multiple of 77010 and 77022