What is the Greatest Common Factor of 38817 and 38836?

Greatest common factor (GCF) of 38817 and 38836 is 19.

GCF(38817,38836) = 19

We will now calculate the prime factors of 38817 and 38836, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38817 and 38836.

How to find the GCF of 38817 and 38836?

We will first find the prime factorization of 38817 and 38836. After we will calculate the factors of 38817 and 38836 and find the biggest common factor number .

Step-1: Prime Factorization of 38817

Prime factors of 38817 are 3, 19, 227. Prime factorization of 38817 in exponential form is:

38817 = 3² × 19¹ × 227¹

Step-2: Prime Factorization of 38836

Prime factors of 38836 are 2, 7, 19, 73. Prime factorization of 38836 in exponential form is:

38836 = 2² × 7¹ × 19¹ × 73¹

Step-3: Factors of 38817

List of positive integer factors of 38817 that divides 38817 without a remainder.

1, 3, 9, 19, 57, 171, 227, 681, 2043, 4313, 12939

Step-4: Factors of 38836

List of positive integer factors of 38836 that divides 38817 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 73, 76, 133, 146, 266, 292, 511, 532, 1022, 1387, 2044, 2774, 5548, 9709, 19418

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38817 and 38836. The biggest common factor number is the GCF number.
So the greatest common factor 38817 and 38836 is 19.

Also check out the Least Common Multiple of 38817 and 38836