What is the Greatest Common Factor of 55825 and 55844?

Greatest common factor (GCF) of 55825 and 55844 is 1.

GCF(55825,55844) = 1

We will now calculate the prime factors of 55825 and 55844, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55825 and 55844.

How to find the GCF of 55825 and 55844?

We will first find the prime factorization of 55825 and 55844. After we will calculate the factors of 55825 and 55844 and find the biggest common factor number .

Step-1: Prime Factorization of 55825

Prime factors of 55825 are 5, 7, 11, 29. Prime factorization of 55825 in exponential form is:

55825 = 5² × 7¹ × 11¹ × 29¹

Step-2: Prime Factorization of 55844

Prime factors of 55844 are 2, 23, 607. Prime factorization of 55844 in exponential form is:

55844 = 2² × 23¹ × 607¹

Step-3: Factors of 55825

List of positive integer factors of 55825 that divides 55825 without a remainder.

1, 5, 7, 11, 25, 29, 35, 55, 77, 145, 175, 203, 275, 319, 385, 725, 1015, 1595, 1925, 2233, 5075, 7975, 11165

Step-4: Factors of 55844

List of positive integer factors of 55844 that divides 55825 without a remainder.

1, 2, 4, 23, 46, 92, 607, 1214, 2428, 13961, 27922

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55825 and 55844. The biggest common factor number is the GCF number.
So the greatest common factor 55825 and 55844 is 1.

Also check out the Least Common Multiple of 55825 and 55844