What is the Greatest Common Factor of 7146 and 7153?

Greatest common factor (GCF) of 7146 and 7153 is 1.

GCF(7146,7153) = 1

We will now calculate the prime factors of 7146 and 7153, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7146 and 7153.

How to find the GCF of 7146 and 7153?

We will first find the prime factorization of 7146 and 7153. After we will calculate the factors of 7146 and 7153 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 7153

Prime factors of 7153 are 23, 311. Prime factorization of 7153 in exponential form is:

7153 = 23¹ × 311¹

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 7153

List of positive integer factors of 7153 that divides 7146 without a remainder.

1, 23, 311

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7146 and 7153. The biggest common factor number is the GCF number.
So the greatest common factor 7146 and 7153 is 1.

Also check out the Least Common Multiple of 7146 and 7153