What is the Greatest Common Factor of 7114 and 7126?

Greatest common factor (GCF) of 7114 and 7126 is 2.

GCF(7114,7126) = 2

We will now calculate the prime factors of 7114 and 7126, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7114 and 7126.

How to find the GCF of 7114 and 7126?

We will first find the prime factorization of 7114 and 7126. After we will calculate the factors of 7114 and 7126 and find the biggest common factor number .

Step-1: Prime Factorization of 7114

Prime factors of 7114 are 2, 3557. Prime factorization of 7114 in exponential form is:

7114 = 2¹ × 3557¹

Step-2: Prime Factorization of 7126

Prime factors of 7126 are 2, 7, 509. Prime factorization of 7126 in exponential form is:

7126 = 2¹ × 7¹ × 509¹

Step-3: Factors of 7114

List of positive integer factors of 7114 that divides 7114 without a remainder.

1, 2, 3557

Step-4: Factors of 7126

List of positive integer factors of 7126 that divides 7114 without a remainder.

1, 2, 7, 14, 509, 1018, 3563

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7114 and 7126. The biggest common factor number is the GCF number.
So the greatest common factor 7114 and 7126 is 2.

Also check out the Least Common Multiple of 7114 and 7126