What is the Greatest Common Factor of 38820 and 38825?

Greatest common factor (GCF) of 38820 and 38825 is 5.

GCF(38820,38825) = 5

We will now calculate the prime factors of 38820 and 38825, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38820 and 38825.

How to find the GCF of 38820 and 38825?

We will first find the prime factorization of 38820 and 38825. After we will calculate the factors of 38820 and 38825 and find the biggest common factor number .

Step-1: Prime Factorization of 38820

Prime factors of 38820 are 2, 3, 5, 647. Prime factorization of 38820 in exponential form is:

38820 = 2² × 3¹ × 5¹ × 647¹

Step-2: Prime Factorization of 38825

Prime factors of 38825 are 5, 1553. Prime factorization of 38825 in exponential form is:

38825 = 5² × 1553¹

Step-3: Factors of 38820

List of positive integer factors of 38820 that divides 38820 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 647, 1294, 1941, 2588, 3235, 3882, 6470, 7764, 9705, 12940, 19410

Step-4: Factors of 38825

List of positive integer factors of 38825 that divides 38820 without a remainder.

1, 5, 25, 1553, 7765

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38820 and 38825. The biggest common factor number is the GCF number.
So the greatest common factor 38820 and 38825 is 5.

Also check out the Least Common Multiple of 38820 and 38825