What is the Greatest Common Factor of 55354 and 55367?

Greatest common factor (GCF) of 55354 and 55367 is 13.

GCF(55354,55367) = 13

We will now calculate the prime factors of 55354 and 55367, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55354 and 55367.

How to find the GCF of 55354 and 55367?

We will first find the prime factorization of 55354 and 55367. After we will calculate the factors of 55354 and 55367 and find the biggest common factor number .

Step-1: Prime Factorization of 55354

Prime factors of 55354 are 2, 13, 2129. Prime factorization of 55354 in exponential form is:

55354 = 2¹ × 13¹ × 2129¹

Step-2: Prime Factorization of 55367

Prime factors of 55367 are 13, 4259. Prime factorization of 55367 in exponential form is:

55367 = 13¹ × 4259¹

Step-3: Factors of 55354

List of positive integer factors of 55354 that divides 55354 without a remainder.

1, 2, 13, 26, 2129, 4258, 27677

Step-4: Factors of 55367

List of positive integer factors of 55367 that divides 55354 without a remainder.

1, 13, 4259

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55354 and 55367. The biggest common factor number is the GCF number.
So the greatest common factor 55354 and 55367 is 13.

Also check out the Least Common Multiple of 55354 and 55367