What is the Greatest Common Factor of 18775 and 18780?

Greatest common factor (GCF) of 18775 and 18780 is 5.

GCF(18775,18780) = 5

We will now calculate the prime factors of 18775 and 18780, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18775 and 18780.

How to find the GCF of 18775 and 18780?

We will first find the prime factorization of 18775 and 18780. After we will calculate the factors of 18775 and 18780 and find the biggest common factor number .

Step-1: Prime Factorization of 18775

Prime factors of 18775 are 5, 751. Prime factorization of 18775 in exponential form is:

18775 = 5² × 751¹

Step-2: Prime Factorization of 18780

Prime factors of 18780 are 2, 3, 5, 313. Prime factorization of 18780 in exponential form is:

18780 = 2² × 3¹ × 5¹ × 313¹

Step-3: Factors of 18775

List of positive integer factors of 18775 that divides 18775 without a remainder.

1, 5, 25, 751, 3755

Step-4: Factors of 18780

List of positive integer factors of 18780 that divides 18775 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 313, 626, 939, 1252, 1565, 1878, 3130, 3756, 4695, 6260, 9390

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18775 and 18780. The biggest common factor number is the GCF number.
So the greatest common factor 18775 and 18780 is 5.

Also check out the Least Common Multiple of 18775 and 18780