What is the Greatest Common Factor of 38228 and 38247?

Greatest common factor (GCF) of 38228 and 38247 is 19.

GCF(38228,38247) = 19

We will now calculate the prime factors of 38228 and 38247, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38228 and 38247.

How to find the GCF of 38228 and 38247?

We will first find the prime factorization of 38228 and 38247. After we will calculate the factors of 38228 and 38247 and find the biggest common factor number .

Step-1: Prime Factorization of 38228

Prime factors of 38228 are 2, 19, 503. Prime factorization of 38228 in exponential form is:

38228 = 2² × 19¹ × 503¹

Step-2: Prime Factorization of 38247

Prime factors of 38247 are 3, 11, 19, 61. Prime factorization of 38247 in exponential form is:

38247 = 3¹ × 11¹ × 19¹ × 61¹

Step-3: Factors of 38228

List of positive integer factors of 38228 that divides 38228 without a remainder.

1, 2, 4, 19, 38, 76, 503, 1006, 2012, 9557, 19114

Step-4: Factors of 38247

List of positive integer factors of 38247 that divides 38228 without a remainder.

1, 3, 11, 19, 33, 57, 61, 183, 209, 627, 671, 1159, 2013, 3477, 12749

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38228 and 38247. The biggest common factor number is the GCF number.
So the greatest common factor 38228 and 38247 is 19.

Also check out the Least Common Multiple of 38228 and 38247