What is the Greatest Common Factor of 7148 and 7166?

Greatest common factor (GCF) of 7148 and 7166 is 2.

GCF(7148,7166) = 2

We will now calculate the prime factors of 7148 and 7166, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7148 and 7166.

How to find the GCF of 7148 and 7166?

We will first find the prime factorization of 7148 and 7166. After we will calculate the factors of 7148 and 7166 and find the biggest common factor number .

Step-1: Prime Factorization of 7148

Prime factors of 7148 are 2, 1787. Prime factorization of 7148 in exponential form is:

7148 = 2² × 1787¹

Step-2: Prime Factorization of 7166

Prime factors of 7166 are 2, 3583. Prime factorization of 7166 in exponential form is:

7166 = 2¹ × 3583¹

Step-3: Factors of 7148

List of positive integer factors of 7148 that divides 7148 without a remainder.

1, 2, 4, 1787, 3574

Step-4: Factors of 7166

List of positive integer factors of 7166 that divides 7148 without a remainder.

1, 2, 3583

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7148 and 7166. The biggest common factor number is the GCF number.
So the greatest common factor 7148 and 7166 is 2.

Also check out the Least Common Multiple of 7148 and 7166