What is the Greatest Common Factor of 54849 and 54869?

Greatest common factor (GCF) of 54849 and 54869 is 1.

GCF(54849,54869) = 1

We will now calculate the prime factors of 54849 and 54869, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54849 and 54869.

How to find the GCF of 54849 and 54869?

We will first find the prime factorization of 54849 and 54869. After we will calculate the factors of 54849 and 54869 and find the biggest common factor number .

Step-1: Prime Factorization of 54849

Prime factors of 54849 are 3, 47, 389. Prime factorization of 54849 in exponential form is:

54849 = 3¹ × 47¹ × 389¹

Step-2: Prime Factorization of 54869

Prime factors of 54869 are 54869. Prime factorization of 54869 in exponential form is:

54869 = 54869¹

Step-3: Factors of 54849

List of positive integer factors of 54849 that divides 54849 without a remainder.

1, 3, 47, 141, 389, 1167, 18283

Step-4: Factors of 54869

List of positive integer factors of 54869 that divides 54849 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54849 and 54869. The biggest common factor number is the GCF number.
So the greatest common factor 54849 and 54869 is 1.

Also check out the Least Common Multiple of 54849 and 54869