What is the Greatest Common Factor of 55042 and 55055?

Greatest common factor (GCF) of 55042 and 55055 is 13.

GCF(55042,55055) = 13

We will now calculate the prime factors of 55042 and 55055, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55042 and 55055.

How to find the GCF of 55042 and 55055?

We will first find the prime factorization of 55042 and 55055. After we will calculate the factors of 55042 and 55055 and find the biggest common factor number .

Step-1: Prime Factorization of 55042

Prime factors of 55042 are 2, 13, 29, 73. Prime factorization of 55042 in exponential form is:

55042 = 2¹ × 13¹ × 29¹ × 73¹

Step-2: Prime Factorization of 55055

Prime factors of 55055 are 5, 7, 11, 13. Prime factorization of 55055 in exponential form is:

55055 = 5¹ × 7¹ × 11² × 13¹

Step-3: Factors of 55042

List of positive integer factors of 55042 that divides 55042 without a remainder.

1, 2, 13, 26, 29, 58, 73, 146, 377, 754, 949, 1898, 2117, 4234, 27521

Step-4: Factors of 55055

List of positive integer factors of 55055 that divides 55042 without a remainder.

1, 5, 7, 11, 13, 35, 55, 65, 77, 91, 121, 143, 385, 455, 605, 715, 847, 1001, 1573, 4235, 5005, 7865, 11011

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55042 and 55055. The biggest common factor number is the GCF number.
So the greatest common factor 55042 and 55055 is 13.

Also check out the Least Common Multiple of 55042 and 55055