What is the Greatest Common Factor of 7154 and 7162?

Greatest common factor (GCF) of 7154 and 7162 is 2.

GCF(7154,7162) = 2

We will now calculate the prime factors of 7154 and 7162, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7154 and 7162.

How to find the GCF of 7154 and 7162?

We will first find the prime factorization of 7154 and 7162. After we will calculate the factors of 7154 and 7162 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 7162

Prime factors of 7162 are 2, 3581. Prime factorization of 7162 in exponential form is:

7162 = 2¹ × 3581¹

Step-3: Factors of 7154

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

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

Step-4: Factors of 7162

List of positive integer factors of 7162 that divides 7154 without a remainder.

1, 2, 3581

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7154 and 7162. The biggest common factor number is the GCF number.
So the greatest common factor 7154 and 7162 is 2.

Also check out the Least Common Multiple of 7154 and 7162