What is the Greatest Common Factor of 55025 and 55029?

Greatest common factor (GCF) of 55025 and 55029 is 1.

GCF(55025,55029) = 1

We will now calculate the prime factors of 55025 and 55029, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55025 and 55029.

How to find the GCF of 55025 and 55029?

We will first find the prime factorization of 55025 and 55029. After we will calculate the factors of 55025 and 55029 and find the biggest common factor number .

Step-1: Prime Factorization of 55025

Prime factors of 55025 are 5, 31, 71. Prime factorization of 55025 in exponential form is:

55025 = 5² × 31¹ × 71¹

Step-2: 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-3: Factors of 55025

List of positive integer factors of 55025 that divides 55025 without a remainder.

1, 5, 25, 31, 71, 155, 355, 775, 1775, 2201, 11005

Step-4: Factors of 55029

List of positive integer factors of 55029 that divides 55025 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55025 and 55029. The biggest common factor number is the GCF number.
So the greatest common factor 55025 and 55029 is 1.

Also check out the Least Common Multiple of 55025 and 55029