What is the Greatest Common Factor of 38900 and 38910?

Greatest common factor (GCF) of 38900 and 38910 is 10.

GCF(38900,38910) = 10

We will now calculate the prime factors of 38900 and 38910, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38900 and 38910.

How to find the GCF of 38900 and 38910?

We will first find the prime factorization of 38900 and 38910. After we will calculate the factors of 38900 and 38910 and find the biggest common factor number .

Step-1: Prime Factorization of 38900

Prime factors of 38900 are 2, 5, 389. Prime factorization of 38900 in exponential form is:

38900 = 2² × 5² × 389¹

Step-2: Prime Factorization of 38910

Prime factors of 38910 are 2, 3, 5, 1297. Prime factorization of 38910 in exponential form is:

38910 = 2¹ × 3¹ × 5¹ × 1297¹

Step-3: Factors of 38900

List of positive integer factors of 38900 that divides 38900 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 389, 778, 1556, 1945, 3890, 7780, 9725, 19450

Step-4: Factors of 38910

List of positive integer factors of 38910 that divides 38900 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1297, 2594, 3891, 6485, 7782, 12970, 19455

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38900 and 38910. The biggest common factor number is the GCF number.
So the greatest common factor 38900 and 38910 is 10.

Also check out the Least Common Multiple of 38900 and 38910