What is the Greatest Common Factor of 19442 and 19450?

Greatest common factor (GCF) of 19442 and 19450 is 2.

GCF(19442,19450) = 2

We will now calculate the prime factors of 19442 and 19450, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19442 and 19450.

How to find the GCF of 19442 and 19450?

We will first find the prime factorization of 19442 and 19450. After we will calculate the factors of 19442 and 19450 and find the biggest common factor number .

Step-1: Prime Factorization of 19442

Prime factors of 19442 are 2, 9721. Prime factorization of 19442 in exponential form is:

19442 = 2¹ × 9721¹

Step-2: 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-3: Factors of 19442

List of positive integer factors of 19442 that divides 19442 without a remainder.

1, 2, 9721

Step-4: Factors of 19450

List of positive integer factors of 19450 that divides 19442 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19442 and 19450. The biggest common factor number is the GCF number.
So the greatest common factor 19442 and 19450 is 2.

Also check out the Least Common Multiple of 19442 and 19450