What is the Greatest Common Factor of 19730 and 19748?

Greatest common factor (GCF) of 19730 and 19748 is 2.

GCF(19730,19748) = 2

We will now calculate the prime factors of 19730 and 19748, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19730 and 19748.

How to find the GCF of 19730 and 19748?

We will first find the prime factorization of 19730 and 19748. After we will calculate the factors of 19730 and 19748 and find the biggest common factor number .

Step-1: Prime Factorization of 19730

Prime factors of 19730 are 2, 5, 1973. Prime factorization of 19730 in exponential form is:

19730 = 2¹ × 5¹ × 1973¹

Step-2: Prime Factorization of 19748

Prime factors of 19748 are 2, 4937. Prime factorization of 19748 in exponential form is:

19748 = 2² × 4937¹

Step-3: Factors of 19730

List of positive integer factors of 19730 that divides 19730 without a remainder.

1, 2, 5, 10, 1973, 3946, 9865

Step-4: Factors of 19748

List of positive integer factors of 19748 that divides 19730 without a remainder.

1, 2, 4, 4937, 9874

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19730 and 19748. The biggest common factor number is the GCF number.
So the greatest common factor 19730 and 19748 is 2.

Also check out the Least Common Multiple of 19730 and 19748