What is the Greatest Common Factor of 7126 and 7142?

Greatest common factor (GCF) of 7126 and 7142 is 2.

GCF(7126,7142) = 2

We will now calculate the prime factors of 7126 and 7142, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7126 and 7142.

How to find the GCF of 7126 and 7142?

We will first find the prime factorization of 7126 and 7142. After we will calculate the factors of 7126 and 7142 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 7142

Prime factors of 7142 are 2, 3571. Prime factorization of 7142 in exponential form is:

7142 = 2¹ × 3571¹

Step-3: Factors of 7126

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

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

Step-4: Factors of 7142

List of positive integer factors of 7142 that divides 7126 without a remainder.

1, 2, 3571

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7126 and 7142. The biggest common factor number is the GCF number.
So the greatest common factor 7126 and 7142 is 2.

Also check out the Least Common Multiple of 7126 and 7142