What is the Greatest Common Factor of 38227 and 38241?

Greatest common factor (GCF) of 38227 and 38241 is 7.

GCF(38227,38241) = 7

We will now calculate the prime factors of 38227 and 38241, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38227 and 38241.

How to find the GCF of 38227 and 38241?

We will first find the prime factorization of 38227 and 38241. After we will calculate the factors of 38227 and 38241 and find the biggest common factor number .

Step-1: Prime Factorization of 38227

Prime factors of 38227 are 7, 43, 127. Prime factorization of 38227 in exponential form is:

38227 = 7¹ × 43¹ × 127¹

Step-2: Prime Factorization of 38241

Prime factors of 38241 are 3, 7, 607. Prime factorization of 38241 in exponential form is:

38241 = 3² × 7¹ × 607¹

Step-3: Factors of 38227

List of positive integer factors of 38227 that divides 38227 without a remainder.

1, 7, 43, 127, 301, 889, 5461

Step-4: Factors of 38241

List of positive integer factors of 38241 that divides 38227 without a remainder.

1, 3, 7, 9, 21, 63, 607, 1821, 4249, 5463, 12747

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38227 and 38241. The biggest common factor number is the GCF number.
So the greatest common factor 38227 and 38241 is 7.

Also check out the Least Common Multiple of 38227 and 38241