What is the Greatest Common Factor of 38258 and 38269?

Greatest common factor (GCF) of 38258 and 38269 is 11.

GCF(38258,38269) = 11

We will now calculate the prime factors of 38258 and 38269, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38258 and 38269.

How to find the GCF of 38258 and 38269?

We will first find the prime factorization of 38258 and 38269. After we will calculate the factors of 38258 and 38269 and find the biggest common factor number .

Step-1: Prime Factorization of 38258

Prime factors of 38258 are 2, 11, 37, 47. Prime factorization of 38258 in exponential form is:

38258 = 2¹ × 11¹ × 37¹ × 47¹

Step-2: Prime Factorization of 38269

Prime factors of 38269 are 7, 11, 71. Prime factorization of 38269 in exponential form is:

38269 = 7² × 11¹ × 71¹

Step-3: Factors of 38258

List of positive integer factors of 38258 that divides 38258 without a remainder.

1, 2, 11, 22, 37, 47, 74, 94, 407, 517, 814, 1034, 1739, 3478, 19129

Step-4: Factors of 38269

List of positive integer factors of 38269 that divides 38258 without a remainder.

1, 7, 11, 49, 71, 77, 497, 539, 781, 3479, 5467

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38258 and 38269. The biggest common factor number is the GCF number.
So the greatest common factor 38258 and 38269 is 11.

Also check out the Least Common Multiple of 38258 and 38269