What is the Greatest Common Factor of 55930 and 55945?

Greatest common factor (GCF) of 55930 and 55945 is 5.

GCF(55930,55945) = 5

We will now calculate the prime factors of 55930 and 55945, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55930 and 55945.

How to find the GCF of 55930 and 55945?

We will first find the prime factorization of 55930 and 55945. After we will calculate the factors of 55930 and 55945 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 55945

Prime factors of 55945 are 5, 67, 167. Prime factorization of 55945 in exponential form is:

55945 = 5¹ × 67¹ × 167¹

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 55945

List of positive integer factors of 55945 that divides 55930 without a remainder.

1, 5, 67, 167, 335, 835, 11189

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55930 and 55945. The biggest common factor number is the GCF number.
So the greatest common factor 55930 and 55945 is 5.

Also check out the Least Common Multiple of 55930 and 55945