What is the Greatest Common Factor of 7084 and 7102?

Greatest common factor (GCF) of 7084 and 7102 is 2.

GCF(7084,7102) = 2

We will now calculate the prime factors of 7084 and 7102, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7084 and 7102.

How to find the GCF of 7084 and 7102?

We will first find the prime factorization of 7084 and 7102. After we will calculate the factors of 7084 and 7102 and find the biggest common factor number .

Step-1: Prime Factorization of 7084

Prime factors of 7084 are 2, 7, 11, 23. Prime factorization of 7084 in exponential form is:

7084 = 2² × 7¹ × 11¹ × 23¹

Step-2: Prime Factorization of 7102

Prime factors of 7102 are 2, 53, 67. Prime factorization of 7102 in exponential form is:

7102 = 2¹ × 53¹ × 67¹

Step-3: Factors of 7084

List of positive integer factors of 7084 that divides 7084 without a remainder.

1, 2, 4, 7, 11, 14, 22, 23, 28, 44, 46, 77, 92, 154, 161, 253, 308, 322, 506, 644, 1012, 1771, 3542

Step-4: Factors of 7102

List of positive integer factors of 7102 that divides 7084 without a remainder.

1, 2, 53, 67, 106, 134, 3551

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7084 and 7102. The biggest common factor number is the GCF number.
So the greatest common factor 7084 and 7102 is 2.

Also check out the Least Common Multiple of 7084 and 7102