What is the Greatest Common Factor of 38423 and 38441?

Greatest common factor (GCF) of 38423 and 38441 is 1.

GCF(38423,38441) = 1

We will now calculate the prime factors of 38423 and 38441, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38423 and 38441.

How to find the GCF of 38423 and 38441?

We will first find the prime factorization of 38423 and 38441. After we will calculate the factors of 38423 and 38441 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 38441

Prime factors of 38441 are 13, 2957. Prime factorization of 38441 in exponential form is:

38441 = 13¹ × 2957¹

Step-3: Factors of 38423

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

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

Step-4: Factors of 38441

List of positive integer factors of 38441 that divides 38423 without a remainder.

1, 13, 2957

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38423 and 38441. The biggest common factor number is the GCF number.
So the greatest common factor 38423 and 38441 is 1.

Also check out the Least Common Multiple of 38423 and 38441