What is the Greatest Common Factor of 38428 and 38441?

Greatest common factor (GCF) of 38428 and 38441 is 13.

GCF(38428,38441) = 13

We will now calculate the prime factors of 38428 and 38441, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38428 and 38441.

How to find the GCF of 38428 and 38441?

We will first find the prime factorization of 38428 and 38441. After we will calculate the factors of 38428 and 38441 and find the biggest common factor number .

Step-1: Prime Factorization of 38428

Prime factors of 38428 are 2, 13, 739. Prime factorization of 38428 in exponential form is:

38428 = 2² × 13¹ × 739¹

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 38428

List of positive integer factors of 38428 that divides 38428 without a remainder.

1, 2, 4, 13, 26, 52, 739, 1478, 2956, 9607, 19214

Step-4: Factors of 38441

List of positive integer factors of 38441 that divides 38428 without a remainder.

1, 13, 2957

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38428 and 38441. The biggest common factor number is the GCF number.
So the greatest common factor 38428 and 38441 is 13.

Also check out the Least Common Multiple of 38428 and 38441