What is the Greatest Common Factor of 19450 and 19455?

Greatest common factor (GCF) of 19450 and 19455 is 5.

GCF(19450,19455) = 5

We will now calculate the prime factors of 19450 and 19455, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19450 and 19455.

How to find the GCF of 19450 and 19455?

We will first find the prime factorization of 19450 and 19455. After we will calculate the factors of 19450 and 19455 and find the biggest common factor number .

Step-1: Prime Factorization of 19450

Prime factors of 19450 are 2, 5, 389. Prime factorization of 19450 in exponential form is:

19450 = 2¹ × 5² × 389¹

Step-2: Prime Factorization of 19455

Prime factors of 19455 are 3, 5, 1297. Prime factorization of 19455 in exponential form is:

19455 = 3¹ × 5¹ × 1297¹

Step-3: Factors of 19450

List of positive integer factors of 19450 that divides 19450 without a remainder.

1, 2, 5, 10, 25, 50, 389, 778, 1945, 3890, 9725

Step-4: Factors of 19455

List of positive integer factors of 19455 that divides 19450 without a remainder.

1, 3, 5, 15, 1297, 3891, 6485

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19450 and 19455. The biggest common factor number is the GCF number.
So the greatest common factor 19450 and 19455 is 5.

Also check out the Least Common Multiple of 19450 and 19455