What is the Greatest Common Factor of 55814 and 55825?

Greatest common factor (GCF) of 55814 and 55825 is 11.

GCF(55814,55825) = 11

We will now calculate the prime factors of 55814 and 55825, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55814 and 55825.

How to find the GCF of 55814 and 55825?

We will first find the prime factorization of 55814 and 55825. After we will calculate the factors of 55814 and 55825 and find the biggest common factor number .

Step-1: Prime Factorization of 55814

Prime factors of 55814 are 2, 11, 43, 59. Prime factorization of 55814 in exponential form is:

55814 = 2¹ × 11¹ × 43¹ × 59¹

Step-2: 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-3: Factors of 55814

List of positive integer factors of 55814 that divides 55814 without a remainder.

1, 2, 11, 22, 43, 59, 86, 118, 473, 649, 946, 1298, 2537, 5074, 27907

Step-4: Factors of 55825

List of positive integer factors of 55825 that divides 55814 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55814 and 55825. The biggest common factor number is the GCF number.
So the greatest common factor 55814 and 55825 is 11.

Also check out the Least Common Multiple of 55814 and 55825