What is the Greatest Common Factor of 54145 and 54157?

Greatest common factor (GCF) of 54145 and 54157 is 1.

GCF(54145,54157) = 1

We will now calculate the prime factors of 54145 and 54157, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54145 and 54157.

How to find the GCF of 54145 and 54157?

We will first find the prime factorization of 54145 and 54157. After we will calculate the factors of 54145 and 54157 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 54157

Prime factors of 54157 are 31, 1747. Prime factorization of 54157 in exponential form is:

54157 = 31¹ × 1747¹

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 54157

List of positive integer factors of 54157 that divides 54145 without a remainder.

1, 31, 1747

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54145 and 54157. The biggest common factor number is the GCF number.
So the greatest common factor 54145 and 54157 is 1.

Also check out the Least Common Multiple of 54145 and 54157