What is the Greatest Common Factor of 38773 and 38780?

Greatest common factor (GCF) of 38773 and 38780 is 7.

GCF(38773,38780) = 7

We will now calculate the prime factors of 38773 and 38780, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38773 and 38780.

How to find the GCF of 38773 and 38780?

We will first find the prime factorization of 38773 and 38780. After we will calculate the factors of 38773 and 38780 and find the biggest common factor number .

Step-1: Prime Factorization of 38773

Prime factors of 38773 are 7, 29, 191. Prime factorization of 38773 in exponential form is:

38773 = 7¹ × 29¹ × 191¹

Step-2: Prime Factorization of 38780

Prime factors of 38780 are 2, 5, 7, 277. Prime factorization of 38780 in exponential form is:

38780 = 2² × 5¹ × 7¹ × 277¹

Step-3: Factors of 38773

List of positive integer factors of 38773 that divides 38773 without a remainder.

1, 7, 29, 191, 203, 1337, 5539

Step-4: Factors of 38780

List of positive integer factors of 38780 that divides 38773 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 277, 554, 1108, 1385, 1939, 2770, 3878, 5540, 7756, 9695, 19390

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38773 and 38780. The biggest common factor number is the GCF number.
So the greatest common factor 38773 and 38780 is 7.

Also check out the Least Common Multiple of 38773 and 38780