What is the Greatest Common Factor of 38760 and 38779?

Greatest common factor (GCF) of 38760 and 38779 is 19.

GCF(38760,38779) = 19

We will now calculate the prime factors of 38760 and 38779, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38760 and 38779.

How to find the GCF of 38760 and 38779?

We will first find the prime factorization of 38760 and 38779. After we will calculate the factors of 38760 and 38779 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 38779

Prime factors of 38779 are 13, 19, 157. Prime factorization of 38779 in exponential form is:

38779 = 13¹ × 19¹ × 157¹

Step-3: Factors of 38760

List of positive integer factors of 38760 that divides 38760 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

Step-4: Factors of 38779

List of positive integer factors of 38779 that divides 38760 without a remainder.

1, 13, 19, 157, 247, 2041, 2983

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38760 and 38779. The biggest common factor number is the GCF number.
So the greatest common factor 38760 and 38779 is 19.

Also check out the Least Common Multiple of 38760 and 38779