What is the Greatest Common Factor of 38258 and 38264?

Greatest common factor (GCF) of 38258 and 38264 is 2.

GCF(38258,38264) = 2

We will now calculate the prime factors of 38258 and 38264, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38258 and 38264.

How to find the GCF of 38258 and 38264?

We will first find the prime factorization of 38258 and 38264. After we will calculate the factors of 38258 and 38264 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 38264

Prime factors of 38264 are 2, 4783. Prime factorization of 38264 in exponential form is:

38264 = 2³ × 4783¹

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 38264

List of positive integer factors of 38264 that divides 38258 without a remainder.

1, 2, 4, 8, 4783, 9566, 19132

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38258 and 38264. The biggest common factor number is the GCF number.
So the greatest common factor 38258 and 38264 is 2.

Also check out the Least Common Multiple of 38258 and 38264