What is the Greatest Common Factor of 55029 and 55042?

Greatest common factor (GCF) of 55029 and 55042 is 13.

GCF(55029,55042) = 13

We will now calculate the prime factors of 55029 and 55042, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55029 and 55042.

How to find the GCF of 55029 and 55042?

We will first find the prime factorization of 55029 and 55042. After we will calculate the factors of 55029 and 55042 and find the biggest common factor number .

Step-1: Prime Factorization of 55029

Prime factors of 55029 are 3, 13, 17, 83. Prime factorization of 55029 in exponential form is:

55029 = 3¹ × 13¹ × 17¹ × 83¹

Step-2: 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-3: Factors of 55029

List of positive integer factors of 55029 that divides 55029 without a remainder.

1, 3, 13, 17, 39, 51, 83, 221, 249, 663, 1079, 1411, 3237, 4233, 18343

Step-4: Factors of 55042

List of positive integer factors of 55042 that divides 55029 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55029 and 55042. The biggest common factor number is the GCF number.
So the greatest common factor 55029 and 55042 is 13.

Also check out the Least Common Multiple of 55029 and 55042