What is the Greatest Common Factor of 55856 and 55862?

Greatest common factor (GCF) of 55856 and 55862 is 2.

GCF(55856,55862) = 2

We will now calculate the prime factors of 55856 and 55862, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55856 and 55862.

How to find the GCF of 55856 and 55862?

We will first find the prime factorization of 55856 and 55862. After we will calculate the factors of 55856 and 55862 and find the biggest common factor number .

Step-1: Prime Factorization of 55856

Prime factors of 55856 are 2, 3491. Prime factorization of 55856 in exponential form is:

55856 = 2⁴ × 3491¹

Step-2: Prime Factorization of 55862

Prime factors of 55862 are 2, 17, 31, 53. Prime factorization of 55862 in exponential form is:

55862 = 2¹ × 17¹ × 31¹ × 53¹

Step-3: Factors of 55856

List of positive integer factors of 55856 that divides 55856 without a remainder.

1, 2, 4, 8, 16, 3491, 6982, 13964, 27928

Step-4: Factors of 55862

List of positive integer factors of 55862 that divides 55856 without a remainder.

1, 2, 17, 31, 34, 53, 62, 106, 527, 901, 1054, 1643, 1802, 3286, 27931

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55856 and 55862. The biggest common factor number is the GCF number.
So the greatest common factor 55856 and 55862 is 2.

Also check out the Least Common Multiple of 55856 and 55862