What is the Greatest Common Factor of 54145 and 54154?

Greatest common factor (GCF) of 54145 and 54154 is 1.

GCF(54145,54154) = 1

We will now calculate the prime factors of 54145 and 54154, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54145 and 54154.

How to find the GCF of 54145 and 54154?

We will first find the prime factorization of 54145 and 54154. After we will calculate the factors of 54145 and 54154 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 54154

Prime factors of 54154 are 2, 27077. Prime factorization of 54154 in exponential form is:

54154 = 2¹ × 27077¹

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 54154

List of positive integer factors of 54154 that divides 54145 without a remainder.

1, 2, 27077

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54145 and 54154. The biggest common factor number is the GCF number.
So the greatest common factor 54145 and 54154 is 1.

Also check out the Least Common Multiple of 54145 and 54154