What is the Greatest Common Factor of 7102 and 7116?

Greatest common factor (GCF) of 7102 and 7116 is 2.

GCF(7102,7116) = 2

We will now calculate the prime factors of 7102 and 7116, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7102 and 7116.

How to find the GCF of 7102 and 7116?

We will first find the prime factorization of 7102 and 7116. After we will calculate the factors of 7102 and 7116 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 7116

Prime factors of 7116 are 2, 3, 593. Prime factorization of 7116 in exponential form is:

7116 = 2² × 3¹ × 593¹

Step-3: Factors of 7102

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

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

Step-4: Factors of 7116

List of positive integer factors of 7116 that divides 7102 without a remainder.

1, 2, 3, 4, 6, 12, 593, 1186, 1779, 2372, 3558

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7102 and 7116. The biggest common factor number is the GCF number.
So the greatest common factor 7102 and 7116 is 2.

Also check out the Least Common Multiple of 7102 and 7116