What is the Greatest Common Factor of 55930 and 55949?

Greatest common factor (GCF) of 55930 and 55949 is 1.

GCF(55930,55949) = 1

We will now calculate the prime factors of 55930 and 55949, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55930 and 55949.

How to find the GCF of 55930 and 55949?

We will first find the prime factorization of 55930 and 55949. After we will calculate the factors of 55930 and 55949 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 55949

Prime factors of 55949 are 55949. Prime factorization of 55949 in exponential form is:

55949 = 55949¹

Step-3: Factors of 55930

List of positive integer factors of 55930 that divides 55930 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

Step-4: Factors of 55949

List of positive integer factors of 55949 that divides 55930 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55930 and 55949. The biggest common factor number is the GCF number.
So the greatest common factor 55930 and 55949 is 1.

Also check out the Least Common Multiple of 55930 and 55949