What is the Greatest Common Factor of 19210 and 19225?

Greatest common factor (GCF) of 19210 and 19225 is 5.

GCF(19210,19225) = 5

We will now calculate the prime factors of 19210 and 19225, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19210 and 19225.

How to find the GCF of 19210 and 19225?

We will first find the prime factorization of 19210 and 19225. After we will calculate the factors of 19210 and 19225 and find the biggest common factor number .

Step-1: Prime Factorization of 19210

Prime factors of 19210 are 2, 5, 17, 113. Prime factorization of 19210 in exponential form is:

19210 = 2¹ × 5¹ × 17¹ × 113¹

Step-2: Prime Factorization of 19225

Prime factors of 19225 are 5, 769. Prime factorization of 19225 in exponential form is:

19225 = 5² × 769¹

Step-3: Factors of 19210

List of positive integer factors of 19210 that divides 19210 without a remainder.

1, 2, 5, 10, 17, 34, 85, 113, 170, 226, 565, 1130, 1921, 3842, 9605

Step-4: Factors of 19225

List of positive integer factors of 19225 that divides 19210 without a remainder.

1, 5, 25, 769, 3845

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19210 and 19225. The biggest common factor number is the GCF number.
So the greatest common factor 19210 and 19225 is 5.

Also check out the Least Common Multiple of 19210 and 19225