What is the Greatest Common Factor of 54884 and 54894?

Greatest common factor (GCF) of 54884 and 54894 is 2.

GCF(54884,54894) = 2

We will now calculate the prime factors of 54884 and 54894, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54884 and 54894.

How to find the GCF of 54884 and 54894?

We will first find the prime factorization of 54884 and 54894. After we will calculate the factors of 54884 and 54894 and find the biggest common factor number .

Step-1: Prime Factorization of 54884

Prime factors of 54884 are 2, 13721. Prime factorization of 54884 in exponential form is:

54884 = 2² × 13721¹

Step-2: Prime Factorization of 54894

Prime factors of 54894 are 2, 3, 7, 1307. Prime factorization of 54894 in exponential form is:

54894 = 2¹ × 3¹ × 7¹ × 1307¹

Step-3: Factors of 54884

List of positive integer factors of 54884 that divides 54884 without a remainder.

1, 2, 4, 13721, 27442

Step-4: Factors of 54894

List of positive integer factors of 54894 that divides 54884 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1307, 2614, 3921, 7842, 9149, 18298, 27447

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54884 and 54894. The biggest common factor number is the GCF number.
So the greatest common factor 54884 and 54894 is 2.

Also check out the Least Common Multiple of 54884 and 54894