What is the Greatest Common Factor of 54262 and 54275?

Greatest common factor (GCF) of 54262 and 54275 is 13.

GCF(54262,54275) = 13

We will now calculate the prime factors of 54262 and 54275, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54262 and 54275.

How to find the GCF of 54262 and 54275?

We will first find the prime factorization of 54262 and 54275. After we will calculate the factors of 54262 and 54275 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 54275

Prime factors of 54275 are 5, 13, 167. Prime factorization of 54275 in exponential form is:

54275 = 5² × 13¹ × 167¹

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 54275

List of positive integer factors of 54275 that divides 54262 without a remainder.

1, 5, 13, 25, 65, 167, 325, 835, 2171, 4175, 10855

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54262 and 54275. The biggest common factor number is the GCF number.
So the greatest common factor 54262 and 54275 is 13.

Also check out the Least Common Multiple of 54262 and 54275