What is the Greatest Common Factor of 54829 and 54845?

Greatest common factor (GCF) of 54829 and 54845 is 1.

GCF(54829,54845) = 1

We will now calculate the prime factors of 54829 and 54845, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54829 and 54845.

How to find the GCF of 54829 and 54845?

We will first find the prime factorization of 54829 and 54845. After we will calculate the factors of 54829 and 54845 and find the biggest common factor number .

Step-1: Prime Factorization of 54829

Prime factors of 54829 are 54829. Prime factorization of 54829 in exponential form is:

54829 = 54829¹

Step-2: Prime Factorization of 54845

Prime factors of 54845 are 5, 7, 1567. Prime factorization of 54845 in exponential form is:

54845 = 5¹ × 7¹ × 1567¹

Step-3: Factors of 54829

List of positive integer factors of 54829 that divides 54829 without a remainder.

Step-4: Factors of 54845

List of positive integer factors of 54845 that divides 54829 without a remainder.

1, 5, 7, 35, 1567, 7835, 10969

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54829 and 54845. The biggest common factor number is the GCF number.
So the greatest common factor 54829 and 54845 is 1.

Also check out the Least Common Multiple of 54829 and 54845