What is the Greatest Common Factor of 45207 and 45227?

Greatest common factor (GCF) of 45207 and 45227 is 1.

GCF(45207,45227) = 1

We will now calculate the prime factors of 45207 and 45227, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45207 and 45227.

How to find the GCF of 45207 and 45227?

We will first find the prime factorization of 45207 and 45227. After we will calculate the factors of 45207 and 45227 and find the biggest common factor number .

Step-1: Prime Factorization of 45207

Prime factors of 45207 are 3, 5023. Prime factorization of 45207 in exponential form is:

45207 = 3² × 5023¹

Step-2: Prime Factorization of 45227

Prime factors of 45227 are 7, 13, 71. Prime factorization of 45227 in exponential form is:

45227 = 7² × 13¹ × 71¹

Step-3: Factors of 45207

List of positive integer factors of 45207 that divides 45207 without a remainder.

1, 3, 9, 5023, 15069

Step-4: Factors of 45227

List of positive integer factors of 45227 that divides 45207 without a remainder.

1, 7, 13, 49, 71, 91, 497, 637, 923, 3479, 6461

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45207 and 45227. The biggest common factor number is the GCF number.
So the greatest common factor 45207 and 45227 is 1.

Also check out the Least Common Multiple of 45207 and 45227