What is the Greatest Common Factor of 77022 and 77028?

Greatest common factor (GCF) of 77022 and 77028 is 6.

GCF(77022,77028) = 6

We will now calculate the prime factors of 77022 and 77028, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77022 and 77028.

How to find the GCF of 77022 and 77028?

We will first find the prime factorization of 77022 and 77028. After we will calculate the factors of 77022 and 77028 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 77028

Prime factors of 77028 are 2, 3, 7, 131. Prime factorization of 77028 in exponential form is:

77028 = 2² × 3¹ × 7² × 131¹

Step-3: Factors of 77022

List of positive integer factors of 77022 that divides 77022 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

Step-4: Factors of 77028

List of positive integer factors of 77028 that divides 77022 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 131, 147, 196, 262, 294, 393, 524, 588, 786, 917, 1572, 1834, 2751, 3668, 5502, 6419, 11004, 12838, 19257, 25676, 38514

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77022 and 77028. The biggest common factor number is the GCF number.
So the greatest common factor 77022 and 77028 is 6.

Also check out the Least Common Multiple of 77022 and 77028