What is the Greatest Common Factor of 7126 and 7132?

Greatest common factor (GCF) of 7126 and 7132 is 2.

GCF(7126,7132) = 2

We will now calculate the prime factors of 7126 and 7132, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7126 and 7132.

How to find the GCF of 7126 and 7132?

We will first find the prime factorization of 7126 and 7132. After we will calculate the factors of 7126 and 7132 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 7132

Prime factors of 7132 are 2, 1783. Prime factorization of 7132 in exponential form is:

7132 = 2² × 1783¹

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 7132

List of positive integer factors of 7132 that divides 7126 without a remainder.

1, 2, 4, 1783, 3566

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7126 and 7132. The biggest common factor number is the GCF number.
So the greatest common factor 7126 and 7132 is 2.

Also check out the Least Common Multiple of 7126 and 7132