What is the Greatest Common Factor of 54262 and 54269?

Greatest common factor (GCF) of 54262 and 54269 is 1.

GCF(54262,54269) = 1

We will now calculate the prime factors of 54262 and 54269, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54262 and 54269.

How to find the GCF of 54262 and 54269?

We will first find the prime factorization of 54262 and 54269. After we will calculate the factors of 54262 and 54269 and find the biggest common factor number .

Step-1: Prime Factorization of 54262

Prime factors of 54262 are 2, 13, 2087. Prime factorization of 54262 in exponential form is:

54262 = 2¹ × 13¹ × 2087¹

Step-2: Prime Factorization of 54269

Prime factors of 54269 are 54269. Prime factorization of 54269 in exponential form is:

54269 = 54269¹

Step-3: Factors of 54262

List of positive integer factors of 54262 that divides 54262 without a remainder.

1, 2, 13, 26, 2087, 4174, 27131

Step-4: Factors of 54269

List of positive integer factors of 54269 that divides 54262 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54262 and 54269. The biggest common factor number is the GCF number.
So the greatest common factor 54262 and 54269 is 1.

Also check out the Least Common Multiple of 54262 and 54269