What is the Greatest Common Factor of 54890 and 54901?

Greatest common factor (GCF) of 54890 and 54901 is 11.

GCF(54890,54901) = 11

We will now calculate the prime factors of 54890 and 54901, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54890 and 54901.

How to find the GCF of 54890 and 54901?

We will first find the prime factorization of 54890 and 54901. After we will calculate the factors of 54890 and 54901 and find the biggest common factor number .

Step-1: Prime Factorization of 54890

Prime factors of 54890 are 2, 5, 11, 499. Prime factorization of 54890 in exponential form is:

54890 = 2¹ × 5¹ × 11¹ × 499¹

Step-2: Prime Factorization of 54901

Prime factors of 54901 are 7, 11, 23, 31. Prime factorization of 54901 in exponential form is:

54901 = 7¹ × 11¹ × 23¹ × 31¹

Step-3: Factors of 54890

List of positive integer factors of 54890 that divides 54890 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 499, 998, 2495, 4990, 5489, 10978, 27445

Step-4: Factors of 54901

List of positive integer factors of 54901 that divides 54890 without a remainder.

1, 7, 11, 23, 31, 77, 161, 217, 253, 341, 713, 1771, 2387, 4991, 7843

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54890 and 54901. The biggest common factor number is the GCF number.
So the greatest common factor 54890 and 54901 is 11.

Also check out the Least Common Multiple of 54890 and 54901