What is the Greatest Common Factor of 55923 and 55930?

Greatest common factor (GCF) of 55923 and 55930 is 7.

GCF(55923,55930) = 7

We will now calculate the prime factors of 55923 and 55930, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55923 and 55930.

How to find the GCF of 55923 and 55930?

We will first find the prime factorization of 55923 and 55930. After we will calculate the factors of 55923 and 55930 and find the biggest common factor number .

Step-1: Prime Factorization of 55923

Prime factors of 55923 are 3, 7, 2663. Prime factorization of 55923 in exponential form is:

55923 = 3¹ × 7¹ × 2663¹

Step-2: Prime Factorization of 55930

Prime factors of 55930 are 2, 5, 7, 17, 47. Prime factorization of 55930 in exponential form is:

55930 = 2¹ × 5¹ × 7¹ × 17¹ × 47¹

Step-3: Factors of 55923

List of positive integer factors of 55923 that divides 55923 without a remainder.

1, 3, 7, 21, 2663, 7989, 18641

Step-4: Factors of 55930

List of positive integer factors of 55930 that divides 55923 without a remainder.

1, 2, 5, 7, 10, 14, 17, 34, 35, 47, 70, 85, 94, 119, 170, 235, 238, 329, 470, 595, 658, 799, 1190, 1598, 1645, 3290, 3995, 5593, 7990, 11186, 27965

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55923 and 55930. The biggest common factor number is the GCF number.
So the greatest common factor 55923 and 55930 is 7.

Also check out the Least Common Multiple of 55923 and 55930