What is the Greatest Common Factor of 55814 and 55832?

Greatest common factor (GCF) of 55814 and 55832 is 2.

GCF(55814,55832) = 2

We will now calculate the prime factors of 55814 and 55832, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55814 and 55832.

How to find the GCF of 55814 and 55832?

We will first find the prime factorization of 55814 and 55832. After we will calculate the factors of 55814 and 55832 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 55832

Prime factors of 55832 are 2, 7, 997. Prime factorization of 55832 in exponential form is:

55832 = 2³ × 7¹ × 997¹

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 55832

List of positive integer factors of 55832 that divides 55814 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 997, 1994, 3988, 6979, 7976, 13958, 27916

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55814 and 55832. The biggest common factor number is the GCF number.
So the greatest common factor 55814 and 55832 is 2.

Also check out the Least Common Multiple of 55814 and 55832