What is the Greatest Common Factor of 52211 and 52225?

Greatest common factor (GCF) of 52211 and 52225 is 1.

GCF(52211,52225) = 1

We will now calculate the prime factors of 52211 and 52225, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52211 and 52225.

How to find the GCF of 52211 and 52225?

We will first find the prime factorization of 52211 and 52225. After we will calculate the factors of 52211 and 52225 and find the biggest common factor number .

Step-1: Prime Factorization of 52211

Prime factors of 52211 are 109, 479. Prime factorization of 52211 in exponential form is:

52211 = 109¹ × 479¹

Step-2: Prime Factorization of 52225

Prime factors of 52225 are 5, 2089. Prime factorization of 52225 in exponential form is:

52225 = 5² × 2089¹

Step-3: Factors of 52211

List of positive integer factors of 52211 that divides 52211 without a remainder.

1, 109, 479

Step-4: Factors of 52225

List of positive integer factors of 52225 that divides 52211 without a remainder.

1, 5, 25, 2089, 10445

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52211 and 52225. The biggest common factor number is the GCF number.
So the greatest common factor 52211 and 52225 is 1.

Also check out the Least Common Multiple of 52211 and 52225