What is the Greatest Common Factor of 55006 and 55025?

Greatest common factor (GCF) of 55006 and 55025 is 1.

GCF(55006,55025) = 1

We will now calculate the prime factors of 55006 and 55025, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55006 and 55025.

How to find the GCF of 55006 and 55025?

We will first find the prime factorization of 55006 and 55025. After we will calculate the factors of 55006 and 55025 and find the biggest common factor number .

Step-1: Prime Factorization of 55006

Prime factors of 55006 are 2, 7, 3929. Prime factorization of 55006 in exponential form is:

55006 = 2¹ × 7¹ × 3929¹

Step-2: 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-3: Factors of 55006

List of positive integer factors of 55006 that divides 55006 without a remainder.

1, 2, 7, 14, 3929, 7858, 27503

Step-4: Factors of 55025

List of positive integer factors of 55025 that divides 55006 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55006 and 55025. The biggest common factor number is the GCF number.
So the greatest common factor 55006 and 55025 is 1.

Also check out the Least Common Multiple of 55006 and 55025