What is the Greatest Common Factor of 38741 and 38760?

Greatest common factor (GCF) of 38741 and 38760 is 19.

GCF(38741,38760) = 19

We will now calculate the prime factors of 38741 and 38760, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38741 and 38760.

How to find the GCF of 38741 and 38760?

We will first find the prime factorization of 38741 and 38760. After we will calculate the factors of 38741 and 38760 and find the biggest common factor number .

Step-1: Prime Factorization of 38741

Prime factors of 38741 are 19, 2039. Prime factorization of 38741 in exponential form is:

38741 = 19¹ × 2039¹

Step-2: Prime Factorization of 38760

Prime factors of 38760 are 2, 3, 5, 17, 19. Prime factorization of 38760 in exponential form is:

38760 = 2³ × 3¹ × 5¹ × 17¹ × 19¹

Step-3: Factors of 38741

List of positive integer factors of 38741 that divides 38741 without a remainder.

1, 19, 2039

Step-4: Factors of 38760

List of positive integer factors of 38760 that divides 38741 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 17, 19, 20, 24, 30, 34, 38, 40, 51, 57, 60, 68, 76, 85, 95, 102, 114, 120, 136, 152, 170, 190, 204, 228, 255, 285, 323, 340, 380, 408, 456, 510, 570, 646, 680, 760, 969, 1020, 1140, 1292, 1615, 1938, 2040, 2280, 2584, 3230, 3876, 4845, 6460, 7752, 9690, 12920, 19380

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38741 and 38760. The biggest common factor number is the GCF number.
So the greatest common factor 38741 and 38760 is 19.

Also check out the Least Common Multiple of 38741 and 38760