What is the Greatest Common Factor of 38408 and 38423?

Greatest common factor (GCF) of 38408 and 38423 is 1.

GCF(38408,38423) = 1

We will now calculate the prime factors of 38408 and 38423, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38408 and 38423.

How to find the GCF of 38408 and 38423?

We will first find the prime factorization of 38408 and 38423. After we will calculate the factors of 38408 and 38423 and find the biggest common factor number .

Step-1: Prime Factorization of 38408

Prime factors of 38408 are 2, 4801. Prime factorization of 38408 in exponential form is:

38408 = 2³ × 4801¹

Step-2: Prime Factorization of 38423

Prime factors of 38423 are 7, 11, 499. Prime factorization of 38423 in exponential form is:

38423 = 7¹ × 11¹ × 499¹

Step-3: Factors of 38408

List of positive integer factors of 38408 that divides 38408 without a remainder.

1, 2, 4, 8, 4801, 9602, 19204

Step-4: Factors of 38423

List of positive integer factors of 38423 that divides 38408 without a remainder.

1, 7, 11, 77, 499, 3493, 5489

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38408 and 38423. The biggest common factor number is the GCF number.
So the greatest common factor 38408 and 38423 is 1.

Also check out the Least Common Multiple of 38408 and 38423