What is the Greatest Common Factor of 7154 and 7172?

Greatest common factor (GCF) of 7154 and 7172 is 2.

GCF(7154,7172) = 2

We will now calculate the prime factors of 7154 and 7172, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7154 and 7172.

How to find the GCF of 7154 and 7172?

We will first find the prime factorization of 7154 and 7172. After we will calculate the factors of 7154 and 7172 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 7172

Prime factors of 7172 are 2, 11, 163. Prime factorization of 7172 in exponential form is:

7172 = 2² × 11¹ × 163¹

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 7172

List of positive integer factors of 7172 that divides 7154 without a remainder.

1, 2, 4, 11, 22, 44, 163, 326, 652, 1793, 3586

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7154 and 7172. The biggest common factor number is the GCF number.
So the greatest common factor 7154 and 7172 is 2.

Also check out the Least Common Multiple of 7154 and 7172