What is the Greatest Common Factor of 54145 and 54158?

Greatest common factor (GCF) of 54145 and 54158 is 13.

GCF(54145,54158) = 13

We will now calculate the prime factors of 54145 and 54158, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54145 and 54158.

How to find the GCF of 54145 and 54158?

We will first find the prime factorization of 54145 and 54158. After we will calculate the factors of 54145 and 54158 and find the biggest common factor number .

Step-1: Prime Factorization of 54145

Prime factors of 54145 are 5, 7, 13, 17. Prime factorization of 54145 in exponential form is:

54145 = 5¹ × 7² × 13¹ × 17¹

Step-2: Prime Factorization of 54158

Prime factors of 54158 are 2, 13, 2083. Prime factorization of 54158 in exponential form is:

54158 = 2¹ × 13¹ × 2083¹

Step-3: Factors of 54145

List of positive integer factors of 54145 that divides 54145 without a remainder.

1, 5, 7, 13, 17, 35, 49, 65, 85, 91, 119, 221, 245, 455, 595, 637, 833, 1105, 1547, 3185, 4165, 7735, 10829

Step-4: Factors of 54158

List of positive integer factors of 54158 that divides 54145 without a remainder.

1, 2, 13, 26, 2083, 4166, 27079

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54145 and 54158. The biggest common factor number is the GCF number.
So the greatest common factor 54145 and 54158 is 13.

Also check out the Least Common Multiple of 54145 and 54158