What is the Greatest Common Factor of 54874 and 54894?

Greatest common factor (GCF) of 54874 and 54894 is 2.

GCF(54874,54894) = 2

We will now calculate the prime factors of 54874 and 54894, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54874 and 54894.

How to find the GCF of 54874 and 54894?

We will first find the prime factorization of 54874 and 54894. After we will calculate the factors of 54874 and 54894 and find the biggest common factor number .

Step-1: Prime Factorization of 54874

Prime factors of 54874 are 2, 27437. Prime factorization of 54874 in exponential form is:

54874 = 2¹ × 27437¹

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 54874

List of positive integer factors of 54874 that divides 54874 without a remainder.

1, 2, 27437

Step-4: Factors of 54894

List of positive integer factors of 54894 that divides 54874 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 54874 and 54894. The biggest common factor number is the GCF number.
So the greatest common factor 54874 and 54894 is 2.

Also check out the Least Common Multiple of 54874 and 54894