What is the Greatest Common Factor of 52211 and 52221?

Greatest common factor (GCF) of 52211 and 52221 is 1.

GCF(52211,52221) = 1

We will now calculate the prime factors of 52211 and 52221, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52211 and 52221.

How to find the GCF of 52211 and 52221?

We will first find the prime factorization of 52211 and 52221. After we will calculate the factors of 52211 and 52221 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 52221

Prime factors of 52221 are 3, 13, 103. Prime factorization of 52221 in exponential form is:

52221 = 3¹ × 13² × 103¹

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 52221

List of positive integer factors of 52221 that divides 52211 without a remainder.

1, 3, 13, 39, 103, 169, 309, 507, 1339, 4017, 17407

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52211 and 52221. The biggest common factor number is the GCF number.
So the greatest common factor 52211 and 52221 is 1.

Also check out the Least Common Multiple of 52211 and 52221