What is the Greatest Common Factor of 7146 and 7154?

Greatest common factor (GCF) of 7146 and 7154 is 2.

GCF(7146,7154) = 2

We will now calculate the prime factors of 7146 and 7154, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7146 and 7154.

How to find the GCF of 7146 and 7154?

We will first find the prime factorization of 7146 and 7154. After we will calculate the factors of 7146 and 7154 and find the biggest common factor number .

Step-1: Prime Factorization of 7146

Prime factors of 7146 are 2, 3, 397. Prime factorization of 7146 in exponential form is:

7146 = 2¹ × 3² × 397¹

Step-2: Prime Factorization of 7154

Prime factors of 7154 are 2, 7, 73. Prime factorization of 7154 in exponential form is:

7154 = 2¹ × 7² × 73¹

Step-3: Factors of 7146

List of positive integer factors of 7146 that divides 7146 without a remainder.

1, 2, 3, 6, 9, 18, 397, 794, 1191, 2382, 3573

Step-4: Factors of 7154

List of positive integer factors of 7154 that divides 7146 without a remainder.

1, 2, 7, 14, 49, 73, 98, 146, 511, 1022, 3577

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7146 and 7154. The biggest common factor number is the GCF number.
So the greatest common factor 7146 and 7154 is 2.

Also check out the Least Common Multiple of 7146 and 7154