What is the Greatest Common Factor of 45227 and 45241?

Greatest common factor (GCF) of 45227 and 45241 is 7.

GCF(45227,45241) = 7

We will now calculate the prime factors of 45227 and 45241, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45227 and 45241.

How to find the GCF of 45227 and 45241?

We will first find the prime factorization of 45227 and 45241. After we will calculate the factors of 45227 and 45241 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 45241

Prime factors of 45241 are 7, 23, 281. Prime factorization of 45241 in exponential form is:

45241 = 7¹ × 23¹ × 281¹

Step-3: Factors of 45227

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

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

Step-4: Factors of 45241

List of positive integer factors of 45241 that divides 45227 without a remainder.

1, 7, 23, 161, 281, 1967, 6463

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45227 and 45241. The biggest common factor number is the GCF number.
So the greatest common factor 45227 and 45241 is 7.

Also check out the Least Common Multiple of 45227 and 45241