What is the Greatest Common Factor of 19825 and 19829?

Greatest common factor (GCF) of 19825 and 19829 is 1.

GCF(19825,19829) = 1

We will now calculate the prime factors of 19825 and 19829, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19825 and 19829.

How to find the GCF of 19825 and 19829?

We will first find the prime factorization of 19825 and 19829. After we will calculate the factors of 19825 and 19829 and find the biggest common factor number .

Step-1: Prime Factorization of 19825

Prime factors of 19825 are 5, 13, 61. Prime factorization of 19825 in exponential form is:

19825 = 5² × 13¹ × 61¹

Step-2: Prime Factorization of 19829

Prime factors of 19829 are 79, 251. Prime factorization of 19829 in exponential form is:

19829 = 79¹ × 251¹

Step-3: Factors of 19825

List of positive integer factors of 19825 that divides 19825 without a remainder.

1, 5, 13, 25, 61, 65, 305, 325, 793, 1525, 3965

Step-4: Factors of 19829

List of positive integer factors of 19829 that divides 19825 without a remainder.

1, 79, 251

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19825 and 19829. The biggest common factor number is the GCF number.
So the greatest common factor 19825 and 19829 is 1.

Also check out the Least Common Multiple of 19825 and 19829